101129523840 has 768 divisors, whose sum is σ = 396972576000. Its totient is φ = 24487723008.

The previous prime is 101129523799. The next prime is 101129523863. The reversal of 101129523840 is 48325921101.

101129523840 is a `hidden beast` number, since 1 + 0 + 1 + 129 + 523 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101129523795 and 101129523804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76670701 + ... + 76672019.

It is an arithmetic number, because the mean of its divisors is an integer number (516891375).

Almost surely, 2^101129523840 is an apocalyptic number.

101129523840 is a gapful number since it is divisible by the number (10) 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 101129523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198486288000).

101129523840 is an abundant number, since it is smaller than the sum of its proper divisors (295843052160).

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

101129523840 is a wasteful number, since it uses less digits than its factorization.

101129523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 101129523840 in words is "one hundred one billion, one hundred twenty-nine million, five hundred twenty-three thousand, eight hundred forty".