10211100021972 has 72 divisors (see below), whose sum is σ = 26561796573312. Its totient is φ = 3305851161600.

The previous prime is 10211100021971. The next prime is 10211100022049. The reversal of 10211100021972 is 27912000111201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211100021971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22812429 + ... + 23255732.

It is an arithmetic number, because the mean of its divisors is an integer number (368913841296).

Almost surely, 2^{10211100021972} is an apocalyptic number.

10211100021972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211100021972 is an abundant number, since it is smaller than the sum of its proper divisors (16350696551340).

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

10211100021972 is a wasteful number, since it uses less digits than its factorization.

10211100021972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46068349 (or 46068344 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 10211100021972 in words is "ten trillion, two hundred eleven billion, one hundred million, twenty-one thousand, nine hundred seventy-two".