101136098992320 has 896 divisors, whose sum is σ = 416041945989120. Its totient is φ = 22934659313664.

The previous prime is 101136098992307. The next prime is 101136098992451. The reversal of 101136098992320 is 23299890631101.

101136098992320 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 609 + 8 + 9 + 9 + 2 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 622076482 + ... + 622239038.

Almost surely, 2^{101136098992320} is an apocalyptic number.

101136098992320 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 101136098992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208020972994560).

101136098992320 is an abundant number, since it is smaller than the sum of its proper divisors (314905846996800).

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

101136098992320 is an equidigital number, since it uses as much as digits as its factorization.

101136098992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162729 (or 162701 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 101136098992320 in words is "one hundred one trillion, one hundred thirty-six billion, ninety-eight million, nine hundred ninety-two thousand, three hundred twenty".