101611326664 has 64 divisors (see below), whose sum is σ = 204526944000. Its totient is φ = 47202465024.

The previous prime is 101611326647. The next prime is 101611326667. The reversal of 101611326664 is 466623116101.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (101611326667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4065534 + ... + 4090450.

It is an arithmetic number, because the mean of its divisors is an integer number (3195733500).

Almost surely, 2^101611326664 is an apocalyptic number.

It is an amenable number.

101611326664 is an abundant number, since it is smaller than the sum of its proper divisors (102915617336).

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

101611326664 is a wasteful number, since it uses less digits than its factorization.

101611326664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25582 (or 25578 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

It can be divided in two parts, 101611 and 326664, that added together give a triangular number (428275 = T₉₂₅).

The spelling of 101611326664 in words is "one hundred one billion, six hundred eleven million, three hundred twenty-six thousand, six hundred sixty-four".