10101111000972 has 12 divisors (see below), whose sum is σ = 23569259002296. Its totient is φ = 3367037000320.

The previous prime is 10101111000971. The next prime is 10101111001031. The reversal of 10101111000972 is 27900011110101.

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

It is not an unprimeable number, because it can be changed into a prime (10101111000971) 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, 420879625029 + ... + 420879625052.

It is an arithmetic number, because the mean of its divisors is an integer number (1964104916858).

Almost surely, 2^{10101111000972} is an apocalyptic number.

10101111000972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101111000972 is an abundant number, since it is smaller than the sum of its proper divisors (13468148001324).

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

10101111000972 is a wasteful number, since it uses less digits than its factorization.

10101111000972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841759250088 (or 841759250086 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 24.

The spelling of 10101111000972 in words is "ten trillion, one hundred one billion, one hundred eleven million, nine hundred seventy-two", and thus it is an aban number.