101129791488 has 768 divisors, whose sum is σ = 336259123200. Its totient is φ = 26644316160.

The previous prime is 101129791487. The next prime is 101129791513. The reversal of 101129791488 is 884197921101.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 101129791488.

It is not an unprimeable number, because it can be changed into a prime (101129791487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1136289748 + ... + 1136289836.

It is an arithmetic number, because the mean of its divisors is an integer number (437837400).

Almost surely, 2^101129791488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101129791488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168129561600).

101129791488 is an abundant number, since it is smaller than the sum of its proper divisors (235129331712).

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

101129791488 is a wasteful number, since it uses less digits than its factorization.

101129791488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 51.

The spelling of 101129791488 in words is "one hundred one billion, one hundred twenty-nine million, seven hundred ninety-one thousand, four hundred eighty-eight".