10211012102100 has 72 divisors (see below), whose sum is σ = 30101293081440. Its totient is φ = 2671560394880.

The previous prime is 10211012102017. The next prime is 10211012102107. The reversal of 10211012102100 is 120121011201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211012102107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321085110 + ... + 321116909.

It is an arithmetic number, because the mean of its divisors is an integer number (418073515020).

Almost surely, 2^{10211012102100} is an apocalyptic number.

10211012102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211012102100 is an abundant number, since it is smaller than the sum of its proper divisors (19890280979340).

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

10211012102100 is a wasteful number, since it uses less digits than its factorization.

10211012102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642202089 (or 642202082 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10211012102100 its reverse (120121011201), we get a palindrome (10331133113301).

The spelling of 10211012102100 in words is "ten trillion, two hundred eleven billion, twelve million, one hundred two thousand, one hundred".