10100957200581 has 32 divisors (see below), whose sum is σ = 14977550730240. Its totient is φ = 6013150848000.

The previous prime is 10100957200567. The next prime is 10100957200597. The reversal of 10100957200581 is 18500275900101.

It is not a de Polignac number, because 10100957200581 - 2¹⁸ = 10100956938437 is a prime.

It is a super-2 number, since 2×10100957200581² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100953200581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1553131 + ... + 4755431.

It is an arithmetic number, because the mean of its divisors is an integer number (468048460320).

Almost surely, 2^{10100957200581} is an apocalyptic number.

It is an amenable number.

10100957200581 is a deficient number, since it is larger than the sum of its proper divisors (4876593529659).

10100957200581 is a wasteful number, since it uses less digits than its factorization.

10100957200581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204957.

The product of its (nonzero) digits is 25200, while the sum is 39.

The spelling of 10100957200581 in words is "ten trillion, one hundred billion, nine hundred fifty-seven million, two hundred thousand, five hundred eighty-one".