101158095940704 has 2160 divisors, whose sum is σ = 356248769671872. Its totient is φ = 28102887014400.

The previous prime is 101158095940687. The next prime is 101158095940723. The reversal of 101158095940704 is 407049590851101.

101158095940704 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 580 + 9 + 59 + 4 + 0 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 524135212032 + ... + 524135212224.

Almost surely, 2^{101158095940704} 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 101158095940704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178124384835936).

101158095940704 is an abundant number, since it is smaller than the sum of its proper divisors (255090673731168).

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

101158095940704 is a wasteful number, since it uses less digits than its factorization.

101158095940704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 101158095940704 in words is "one hundred one trillion, one hundred fifty-eight billion, ninety-five million, nine hundred forty thousand, seven hundred four".