100956581121 has 32 divisors (see below), whose sum is σ = 148277606400. Its totient is φ = 60591516480.

The previous prime is 100956581113. The next prime is 100956581129. The reversal of 100956581121 is 121185659001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100956581113) and next prime (100956581129).

It is not a de Polignac number, because 100956581121 - 2³ = 100956581113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100956581121.

It is not an unprimeable number, because it can be changed into a prime (100956581129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1793320 + ... + 1848758.

It is an arithmetic number, because the mean of its divisors is an integer number (4633675200).

Almost surely, 2^100956581121 is an apocalyptic number.

100956581121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100956581121 is a deficient number, since it is larger than the sum of its proper divisors (47321025279).

100956581121 is a wasteful number, since it uses less digits than its factorization.

100956581121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55989.

The product of its (nonzero) digits is 21600, while the sum is 39.

The spelling of 100956581121 in words is "one hundred billion, nine hundred fifty-six million, five hundred eighty-one thousand, one hundred twenty-one".