10100001009972 has 12 divisors (see below), whose sum is σ = 23566669023296. Its totient is φ = 3366667003320.

The previous prime is 10100001009971. The next prime is 10100001010003. The reversal of 10100001009972 is 27990010000101.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100001009971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 420833375404 + ... + 420833375427.

Almost surely, 2^{10100001009972} is an apocalyptic number.

10100001009972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100001009972 is an abundant number, since it is smaller than the sum of its proper divisors (13466668013324).

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

10100001009972 is a wasteful number, since it uses less digits than its factorization.

10100001009972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841666750838 (or 841666750836 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

The spelling of 10100001009972 in words is "ten trillion, one hundred billion, one million, nine thousand, nine hundred seventy-two".