101941864053120 has 3072 divisors, whose sum is σ = 465890650767360. Its totient is φ = 20720817930240.

The previous prime is 101941864053109. The next prime is 101941864053143. The reversal of 101941864053120 is 21350468149101.

101941864053120 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 41 + 86 + 405 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 139074848274 + ... + 139074849006.

It is an arithmetic number, because the mean of its divisors is an integer number (151657112880).

Almost surely, 2^{101941864053120} is an apocalyptic number.

101941864053120 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 101941864053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232945325383680).

101941864053120 is an abundant number, since it is smaller than the sum of its proper divisors (363948786714240).

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

101941864053120 is a wasteful number, since it uses less digits than its factorization.

101941864053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 101941864053120 in words is "one hundred one trillion, nine hundred forty-one billion, eight hundred sixty-four million, fifty-three thousand, one hundred twenty".