100210122202120 has 64 divisors (see below), whose sum is σ = 258325773091200. Its totient is φ = 34272075955200.

The previous prime is 100210122202109. The next prime is 100210122202129. The reversal of 100210122202120 is 21202221012001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100210122202094 and 100210122202103.

It is not an unprimeable number, because it can be changed into a prime (100210122202129) 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, 446138710 + ... + 446363269.

It is an arithmetic number, because the mean of its divisors is an integer number (4036340204550).

Almost surely, 2^{100210122202120} is an apocalyptic number.

100210122202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210122202120 is an abundant number, since it is smaller than the sum of its proper divisors (158115650889080).

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

100210122202120 is a wasteful number, since it uses less digits than its factorization.

100210122202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892502398 (or 892502394 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100210122202120 its reverse (21202221012001), we get a palindrome (121412343214121).

The spelling of 100210122202120 in words is "one hundred trillion, two hundred ten billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty".