101135001880992 has 192 divisors, whose sum is σ = 273595998654720. Its totient is φ = 32687332614144.

The previous prime is 101135001880963. The next prime is 101135001881003. The reversal of 101135001880992 is 299088100531101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5468816898 + ... + 5468835390.

It is an arithmetic number, because the mean of its divisors is an integer number (1424979159660).

Almost surely, 2^{101135001880992} is an apocalyptic number.

101135001880992 is a gapful number since it is divisible by the number (12) 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 101135001880992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136797999327360).

101135001880992 is an abundant number, since it is smaller than the sum of its proper divisors (172460996773728).

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

101135001880992 is a wasteful number, since it uses less digits than its factorization.

101135001880992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23775 (or 23767 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 48.

The spelling of 101135001880992 in words is "one hundred one trillion, one hundred thirty-five billion, one million, eight hundred eighty thousand, nine hundred ninety-two".