101465663661 has 16 divisors (see below), whose sum is σ = 150325553920. Its totient is φ = 67641052320.

The previous prime is 101465663597. The next prime is 101465663711. The reversal of 101465663661 is 166366564101.

101465663661 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 6 + 5 + 6 + 636 + 6 + 1 = 666.

It is not a de Polignac number, because 101465663661 - 2⁶ = 101465663597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101465663461) 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, 785676 + ... + 905658.

It is an arithmetic number, because the mean of its divisors is an integer number (9395347120).

Almost surely, 2^101465663661 is an apocalyptic number.

It is an amenable number.

101465663661 is a deficient number, since it is larger than the sum of its proper divisors (48859890259).

101465663661 is a wasteful number, since it uses less digits than its factorization.

101465663661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151313 (or 151307 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 101465663661 in words is "one hundred one billion, four hundred sixty-five million, six hundred sixty-three thousand, six hundred sixty-one".