100101979068544 has 96 divisors (see below), whose sum is σ = 202779439838820. Its totient is φ = 49222050508800.

The previous prime is 100101979068479. The next prime is 100101979068557. The reversal of 100101979068544 is 445860979101001.

100101979068544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2652702778944 + 97449276289600 = 1628712^2 + 9871640^2 .

It is a super-2 number, since 2×100101979068544² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3492605574 + ... + 3492634234.

Almost surely, 2^{100101979068544} 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 100101979068544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101389719919410).

100101979068544 is an abundant number, since it is smaller than the sum of its proper divisors (102677460770276).

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

100101979068544 is an frugal number, since it uses more digits than its factorization.

100101979068544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36130 (or 36057 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 55.

The spelling of 100101979068544 in words is "one hundred trillion, one hundred one billion, nine hundred seventy-nine million, sixty-eight thousand, five hundred forty-four".