10201011022100 has 72 divisors (see below), whose sum is σ = 22512542750880. Its totient is φ = 4011038478720.

The previous prime is 10201011022099. The next prime is 10201011022123. The reversal of 10201011022100 is 122011010201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168869102 + ... + 168929498.

Almost surely, 2^{10201011022100} is an apocalyptic number.

10201011022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201011022100 is an abundant number, since it is smaller than the sum of its proper divisors (12311531728780).

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

10201011022100 is a wasteful number, since it uses less digits than its factorization.

10201011022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89097 (or 89090 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10201011022100 its reverse (122011010201), we get a palindrome (10323022032301).

The spelling of 10201011022100 in words is "ten trillion, two hundred one billion, eleven million, twenty-two thousand, one hundred".