101401405864 has 32 divisors (see below), whose sum is σ = 210927434400. Its totient is φ = 45310333120.

The previous prime is 101401405841. The next prime is 101401405891. The reversal of 101401405864 is 468504104101.

It is a happy number.

It is a super-2 number, since 2×101401405864² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9759967 + ... + 9770350.

It is an arithmetic number, because the mean of its divisors is an integer number (6591482325).

Almost surely, 2^101401405864 is an apocalyptic number.

It is an amenable number.

101401405864 is an abundant number, since it is smaller than the sum of its proper divisors (109526028536).

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

101401405864 is a wasteful number, since it uses less digits than its factorization.

101401405864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19530393 (or 19530389 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

Adding to 101401405864 its reverse (468504104101), we get a palindrome (569905509965).

The spelling of 101401405864 in words is "one hundred one billion, four hundred one million, four hundred five thousand, eight hundred sixty-four".