101044354002264 has 144 divisors (see below), whose sum is σ = 289249782606720. Its totient is φ = 31861605260160.

The previous prime is 101044354002227. The next prime is 101044354002287. The reversal of 101044354002264 is 462200453440101.

101044354002264 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 44 + 354 + 0 + 0 + 2 + 264 = 666.

101044354002264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101044354002264² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14725449 + ... + 20467719.

It is an arithmetic number, because the mean of its divisors is an integer number (2008679045880).

Almost surely, 2^{101044354002264} 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 101044354002264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144624891303360).

101044354002264 is an abundant number, since it is smaller than the sum of its proper divisors (188205428604456).

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

101044354002264 is a wasteful number, since it uses less digits than its factorization.

101044354002264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742998 (or 5742972 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 101044354002264 in words is "one hundred one trillion, forty-four billion, three hundred fifty-four million, two thousand, two hundred sixty-four".