2110101000 has 256 divisors, whose sum is σ = 7615296000. Its totient is φ = 476467200.

The previous prime is 2110100933. The next prime is 2110101001. The reversal of 2110101000 is 1010112.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2110101000.

It is not an unprimeable number, because it can be changed into a prime (2110101001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1868436 + ... + 1869564.

It is an arithmetic number, because the mean of its divisors is an integer number (29747250).

Almost surely, 2^2110101000 is an apocalyptic number.

2110101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807648000).

2110101000 is an abundant number, since it is smaller than the sum of its proper divisors (5505195000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2110101000 is a wasteful number, since it uses less digits than its factorization.

2110101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 2110101000 is about 45935.8356841366. The cubic root of 2110101000 is about 1282.6290770610.

Adding to 2110101000 its reverse (1010112), we get a palindrome (2111111112).

The spelling of 2110101000 in words is "two billion, one hundred ten million, one hundred one thousand".