101312100 has 144 divisors (see below), whose sum is σ = 329145600. Its totient is φ = 26732160.

The previous prime is 101312093. The next prime is 101312111. The reversal of 101312100 is 1213101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423781 + ... + 424019.

Almost surely, 2^101312100 is an apocalyptic number.

101312100 is a gapful number since it is divisible by the number (10) 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 101312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164572800).

101312100 is an abundant number, since it is smaller than the sum of its proper divisors (227833500).

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

101312100 is a wasteful number, since it uses less digits than its factorization.

101312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101312100 is about 10065.3911995511. The cubic root of 101312100 is about 466.1801448820.

Adding to 101312100 its reverse (1213101), we get a palindrome (102525201).

The spelling of 101312100 in words is "one hundred one million, three hundred twelve thousand, one hundred".