1001107021152 has 96 divisors (see below), whose sum is σ = 3133900288512. Its totient is φ = 273594461184.

The previous prime is 1001107021073. The next prime is 1001107021169. The reversal of 1001107021152 is 2511207011001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 32370253 + ... + 32401164.

It is an arithmetic number, because the mean of its divisors is an integer number (32644794672).

Almost surely, 2^{1001107021152} is an apocalyptic number.

1001107021152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001107021152 is an abundant number, since it is smaller than the sum of its proper divisors (2132793267360).

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

1001107021152 is a wasteful number, since it uses less digits than its factorization.

1001107021152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64771460 (or 64771452 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 21.

The spelling of 1001107021152 in words is "one trillion, one billion, one hundred seven million, twenty-one thousand, one hundred fifty-two".