10201210112100 has 72 divisors (see below), whose sum is σ = 33732001444288. Its totient is φ = 2331705168000.

The previous prime is 10201210112039. The next prime is 10201210112111. The reversal of 10201210112100 is 121101210201.

It is a super-2 number, since 2×10201210112100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2428857451 + ... + 2428861650.

Almost surely, 2^{10201210112100} is an apocalyptic number.

10201210112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201210112100 is an abundant number, since it is smaller than the sum of its proper divisors (23530791332188).

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

10201210112100 is a wasteful number, since it uses less digits than its factorization.

10201210112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4857719125 (or 4857719118 counting only the distinct ones).

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

Adding to 10201210112100 its reverse (121101210201), we get a palindrome (10322311322301).

The spelling of 10201210112100 in words is "ten trillion, two hundred one billion, two hundred ten million, one hundred twelve thousand, one hundred".