101518665435408 has 80 divisors (see below), whose sum is σ = 282613175626880. Its totient is φ = 31216268132352.

The previous prime is 101518665435401. The next prime is 101518665435419. The reversal of 101518665435408 is 804534566815101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101518665435401) 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, 51755953 + ... + 53681616.

It is an arithmetic number, because the mean of its divisors is an integer number (3532664695336).

Almost surely, 2^{101518665435408} is an apocalyptic number.

It is an amenable number.

101518665435408 is an abundant number, since it is smaller than the sum of its proper divisors (181094510191472).

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

101518665435408 is a wasteful number, since it uses less digits than its factorization.

101518665435408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105439136 (or 105439130 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 57.

The spelling of 101518665435408 in words is "one hundred one trillion, five hundred eighteen billion, six hundred sixty-five million, four hundred thirty-five thousand, four hundred eight".