101292799620096 has 264 divisors, whose sum is σ = 336815386125504. Its totient is φ = 28719875358720.

The previous prime is 101292799620071. The next prime is 101292799620107. The reversal of 101292799620096 is 690026997292101.

101292799620096 is a `hidden beast` number, since 101 + 2 + 92 + 79 + 96 + 200 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2458176 + ... + 14443968.

It is an arithmetic number, because the mean of its divisors is an integer number (1275815856536).

Almost surely, 2^{101292799620096} is an apocalyptic number.

101292799620096 is a gapful number since it is divisible by the number (16) 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 101292799620096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168407693062752).

101292799620096 is an abundant number, since it is smaller than the sum of its proper divisors (235522586505408).

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

101292799620096 is a wasteful number, since it uses less digits than its factorization.

101292799620096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11985957 (or 11985936 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 101292799620096 in words is "one hundred one trillion, two hundred ninety-two billion, seven hundred ninety-nine million, six hundred twenty thousand, ninety-six".