10000010000972 has 24 divisors (see below), whose sum is σ = 18104582692560. Its totient is φ = 4827293352000.

The previous prime is 10000010000971. The next prime is 10000010001013. The reversal of 10000010000972 is 27900001000001.

It is a super-3 number, since 3×10000010000972³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10000010000971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 762779 + ... + 4536722.

It is an arithmetic number, because the mean of its divisors is an integer number (754357612190).

Almost surely, 2^{10000010000972} is an apocalyptic number.

It is an amenable number.

10000010000972 is a deficient number, since it is larger than the sum of its proper divisors (8104572691588).

10000010000972 is a wasteful number, since it uses less digits than its factorization.

10000010000972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315801 (or 5315799 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

Adding to 10000010000972 its reverse (27900001000001), we get a palindrome (37900011000973).

The spelling of 10000010000972 in words is "ten trillion, ten million, nine hundred seventy-two", and thus it is an aban number.