101125955628 has 168 divisors, whose sum is σ = 267955158240. Its totient is φ = 33377702400.

The previous prime is 101125955627. The next prime is 101125955639. The reversal of 101125955628 is 826559521101.

101125955628 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 595 + 56 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (101125955627) 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 55 ways as a sum of consecutive naturals, for example, 230355033 + ... + 230355471.

It is an arithmetic number, because the mean of its divisors is an integer number (1594971180).

Almost surely, 2^101125955628 is an apocalyptic number.

101125955628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101125955628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133977579120).

101125955628 is an abundant number, since it is smaller than the sum of its proper divisors (166829202612).

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

101125955628 is a wasteful number, since it uses less digits than its factorization.

101125955628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

It can be divided in two parts, 101 and 125955628, that added together give a square (125955729 = 11223²).

The spelling of 101125955628 in words is "one hundred one billion, one hundred twenty-five million, nine hundred fifty-five thousand, six hundred twenty-eight".