101797531128 has 96 divisors (see below), whose sum is σ = 277089452640. Its totient is φ = 33762032640.

The previous prime is 101797531127. The next prime is 101797531163. The reversal of 101797531128 is 821135797101.

101797531128 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 97 + 531 + 1 + 28 = 666.

It is a super-2 number, since 2×101797531128² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101797531127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18043188 + ... + 18048828.

It is an arithmetic number, because the mean of its divisors is an integer number (2886348465).

Almost surely, 2^101797531128 is an apocalyptic number.

101797531128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101797531128 is an abundant number, since it is smaller than the sum of its proper divisors (175291921512).

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

101797531128 is a wasteful number, since it uses less digits than its factorization.

101797531128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6869 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 101797531128 in words is "one hundred one billion, seven hundred ninety-seven million, five hundred thirty-one thousand, one hundred twenty-eight".