10011000009972 has 24 divisors (see below), whose sum is σ = 25155846179296. Its totient is φ = 3080307695328.

The previous prime is 10011000009971. The next prime is 10011000010009. The reversal of 10011000009972 is 27990000011001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011000009971) 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 7 ways as a sum of consecutive naturals, for example, 32086538338 + ... + 32086538649.

Almost surely, 2^{10011000009972} is an apocalyptic number.

10011000009972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011000009972 is an abundant number, since it is smaller than the sum of its proper divisors (15144846169324).

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

10011000009972 is a wasteful number, since it uses less digits than its factorization.

10011000009972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64173077007 (or 64173077005 counting only the distinct ones).

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

The spelling of 10011000009972 in words is "ten trillion, eleven billion, nine thousand, nine hundred seventy-two".