101005505602864 has 40 divisors (see below), whose sum is σ = 205998856948080. Its totient is φ = 47844530553600.

The previous prime is 101005505602831. The next prime is 101005505602907. The reversal of 101005505602864 is 468206505500101.

It is a super-2 number, since 2×101005505602864² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101005505602864.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111976374 + ... + 112874794.

It is an arithmetic number, because the mean of its divisors is an integer number (5149971423702).

Almost surely, 2^{101005505602864} is an apocalyptic number.

It is an amenable number.

101005505602864 is an abundant number, since it is smaller than the sum of its proper divisors (104993351345216).

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

101005505602864 is a wasteful number, since it uses less digits than its factorization.

101005505602864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268269 (or 1268263 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 101005505602864 in words is "one hundred one trillion, five billion, five hundred five million, six hundred two thousand, eight hundred sixty-four".