10021111012100 has 72 divisors (see below), whose sum is σ = 21787864237440. Its totient is φ = 4000694922880.

The previous prime is 10021111012097. The next prime is 10021111012153. The reversal of 10021111012100 is 121011112001.

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, 548521766 + ... + 548540034.

It is an arithmetic number, because the mean of its divisors is an integer number (302609225520).

Almost surely, 2^{10021111012100} is an apocalyptic number.

10021111012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021111012100 is an abundant number, since it is smaller than the sum of its proper divisors (11766753225340).

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

10021111012100 is a wasteful number, since it uses less digits than its factorization.

10021111012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28589 (or 28582 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10021111012100 its reverse (121011112001), we get a palindrome (10142122124101).

Subtracting from 10021111012100 its reverse (121011112001), we obtain a palindrome (9900099900099).

The spelling of 10021111012100 in words is "ten trillion, twenty-one billion, one hundred eleven million, twelve thousand, one hundred".