101359206400 has 180 divisors, whose sum is σ = 253416045960. Its totient is φ = 40212889600.

The previous prime is 101359206397. The next prime is 101359206427. The reversal of 101359206400 is 4602953101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53656656 + ... + 53658544.

It is an arithmetic number, because the mean of its divisors is an integer number (1407866922).

Almost surely, 2^101359206400 is an apocalyptic number.

101359206400 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 101359206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126708022980).

101359206400 is an abundant number, since it is smaller than the sum of its proper divisors (152056839560).

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

101359206400 is an equidigital number, since it uses as much as digits as its factorization.

101359206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 101359206400 in words is "one hundred one billion, three hundred fifty-nine million, two hundred six thousand, four hundred".