101019193798032 has 120 divisors (see below), whose sum is σ = 295415633260800. Its totient is φ = 32164220588544.

The previous prime is 101019193798031. The next prime is 101019193798037. The reversal of 101019193798032 is 230897391910101.

101019193798032 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 191 + 9 + 379 + 80 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101019193798032.

It is not an unprimeable number, because it can be changed into a prime (101019193798031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18829357 + ... + 23592012.

It is an arithmetic number, because the mean of its divisors is an integer number (2461796943840).

Almost surely, 2^{101019193798032} is an apocalyptic number.

101019193798032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101019193798032 is an abundant number, since it is smaller than the sum of its proper divisors (194396439462768).

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

101019193798032 is a wasteful number, since it uses less digits than its factorization.

101019193798032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42422125 (or 42422116 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 101019193798032 in words is "one hundred one trillion, nineteen billion, one hundred ninety-three million, seven hundred ninety-eight thousand, thirty-two".