2121101020 has 48 divisors (see below), whose sum is σ = 4520355840. Its totient is φ = 835907904.

The previous prime is 2121100997. The next prime is 2121101029. The reversal of 2121101020 is 201011212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2121100988 and 2121101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121101029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926317 + ... + 928603.

It is an arithmetic number, because the mean of its divisors is an integer number (94174080).

Almost surely, 2^2121101020 is an apocalyptic number.

2121101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121101020 is an abundant number, since it is smaller than the sum of its proper divisors (2399254820).

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

2121101020 is a wasteful number, since it uses less digits than its factorization.

2121101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2121101020 is about 46055.4124940815. The cubic root of 2121101020 is about 1284.8540099706.

Adding to 2121101020 its reverse (201011212), we get a palindrome (2322112232).

The spelling of 2121101020 in words is "two billion, one hundred twenty-one million, one hundred one thousand, twenty".