101599121040 has 160 divisors (see below), whose sum is σ = 332489136000. Its totient is φ = 25593200640.

The previous prime is 101599121023. The next prime is 101599121077. The reversal of 101599121040 is 40121995101.

It is a super-2 number, since 2×101599121040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101599120992 and 101599121010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1559520 + ... + 1623360.

It is an arithmetic number, because the mean of its divisors is an integer number (2078057100).

Almost surely, 2^101599121040 is an apocalyptic number.

101599121040 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 101599121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166244568000).

101599121040 is an abundant number, since it is smaller than the sum of its proper divisors (230890014960).

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

101599121040 is a wasteful number, since it uses less digits than its factorization.

101599121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64225 (or 64219 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 33.

The spelling of 101599121040 in words is "one hundred one billion, five hundred ninety-nine million, one hundred twenty-one thousand, forty".