10021001122100 has 18 divisors (see below), whose sum is σ = 21745572435174. Its totient is φ = 4008400448800.

The previous prime is 10021001122087. The next prime is 10021001122117. The reversal of 10021001122100 is 122110012001.

It can be written as a sum of positive squares in 3 ways, for example, as 142372624 + 10020858749476 = 11932^2 + 3165574^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50105005511 + ... + 50105005710.

Almost surely, 2^{10021001122100} is an apocalyptic number.

10021001122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021001122100 is an abundant number, since it is smaller than the sum of its proper divisors (11724571313074).

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

10021001122100 is a wasteful number, since it uses less digits than its factorization.

10021001122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100210011235 (or 100210011228 counting only the distinct ones).

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

Adding to 10021001122100 its reverse (122110012001), we get a palindrome (10143111134101).

The spelling of 10021001122100 in words is "ten trillion, twenty-one billion, one million, one hundred twenty-two thousand, one hundred".