100416210267116 has 48 divisors (see below), whose sum is σ = 178518228134400. Its totient is φ = 49415277108288.

The previous prime is 100416210267083. The next prime is 100416210267119. The reversal of 100416210267116 is 611762012614001.

It is a self number, because there is not a number n which added to its sum of digits gives 100416210267116.

It is not an unprimeable number, because it can be changed into a prime (100416210267119) 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, 132640535 + ... + 133395441.

It is an arithmetic number, because the mean of its divisors is an integer number (3719129752800).

Almost surely, 2^{100416210267116} is an apocalyptic number.

It is an amenable number.

100416210267116 is a deficient number, since it is larger than the sum of its proper divisors (78102017867284).

100416210267116 is a wasteful number, since it uses less digits than its factorization.

100416210267116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756326 (or 756324 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 100416210267116 in words is "one hundred trillion, four hundred sixteen billion, two hundred ten million, two hundred sixty-seven thousand, one hundred sixteen".