101102010109984 has 96 divisors (see below), whose sum is σ = 214546659634944. Its totient is φ = 46620917038080.

The previous prime is 101102010109949. The next prime is 101102010109999. The reversal of 101102010109984 is 489901010201101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2204412237 + ... + 2204458099.

It is an arithmetic number, because the mean of its divisors is an integer number (2234861037864).

Almost surely, 2^{101102010109984} is an apocalyptic number.

It is an amenable number.

101102010109984 is an abundant number, since it is smaller than the sum of its proper divisors (113444649524960).

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

101102010109984 is a wasteful number, since it uses less digits than its factorization.

101102010109984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50490 (or 50482 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 37.

The spelling of 101102010109984 in words is "one hundred one trillion, one hundred two billion, ten million, one hundred nine thousand, nine hundred eighty-four".