101961624833172 has 72 divisors (see below), whose sum is σ = 280423667048616. Its totient is φ = 31049376620544.

The previous prime is 101961624833161. The next prime is 101961624833207. The reversal of 101961624833172 is 271338426169101.

101961624833172 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 6 + 1 + 62 + 483 + 31 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4320270332676 + 97641354500496 = 2078526^2 + 9881364^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1122978933 + ... + 1123069724.

It is an arithmetic number, because the mean of its divisors is an integer number (3894773153453).

Almost surely, 2^{101961624833172} is an apocalyptic number.

101961624833172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101961624833172 is an abundant number, since it is smaller than the sum of its proper divisors (178462042215444).

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

101961624833172 is a wasteful number, since it uses less digits than its factorization.

101961624833172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246048777 (or 2246048772 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 101961624833172 in words is "one hundred one trillion, nine hundred sixty-one billion, six hundred twenty-four million, eight hundred thirty-three thousand, one hundred seventy-two".