10201112222100 has 72 divisors (see below), whose sum is σ = 29955743730528. Its totient is φ = 2679695145600.

The previous prime is 10201112222089. The next prime is 10201112222129. The reversal of 10201112222100 is 122221110201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10201112222100.

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, 253738911 + ... + 253779110.

Almost surely, 2^{10201112222100} is an apocalyptic number.

10201112222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201112222100 is an abundant number, since it is smaller than the sum of its proper divisors (19754631508428).

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

10201112222100 is a wasteful number, since it uses less digits than its factorization.

10201112222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507518105 (or 507518098 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10201112222100 its reverse (122221110201), we get a palindrome (10323333332301).

The spelling of 10201112222100 in words is "ten trillion, two hundred one billion, one hundred twelve million, two hundred twenty-two thousand, one hundred".