10120211112100 has 36 divisors (see below), whose sum is σ = 22333076060400. Its totient is φ = 3979472841760.

The previous prime is 10120211112091. The next prime is 10120211112107. The reversal of 10120211112100 is 121111202101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10120211112107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 857639110 + ... + 857650909.

It is an arithmetic number, because the mean of its divisors is an integer number (620363223900).

Almost surely, 2^{10120211112100} is an apocalyptic number.

10120211112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120211112100 is an abundant number, since it is smaller than the sum of its proper divisors (12212864948300).

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

10120211112100 is a wasteful number, since it uses less digits than its factorization.

10120211112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715290092 (or 1715290085 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10120211112100 its reverse (121111202101), we get a palindrome (10241322314201).

Subtracting from 10120211112100 its reverse (121111202101), we obtain a palindrome (9999099909999).

The spelling of 10120211112100 in words is "ten trillion, one hundred twenty billion, two hundred eleven million, one hundred twelve thousand, one hundred".