10211100984 has 72 divisors (see below), whose sum is σ = 32170188960. Its totient is φ = 2917456416.

The previous prime is 10211100967. The next prime is 10211101099. The reversal of 10211100984 is 48900111201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1443624 + ... + 1450679.

It is an arithmetic number, because the mean of its divisors is an integer number (446808180).

Almost surely, 2^10211100984 is an apocalyptic number.

10211100984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10211100984 is an abundant number, since it is smaller than the sum of its proper divisors (21959087976).

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

10211100984 is a wasteful number, since it uses less digits than its factorization.

10211100984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894329 (or 2894315 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 10211100984 in words is "ten billion, two hundred eleven million, one hundred thousand, nine hundred eighty-four".