101654553034116 has 96 divisors (see below), whose sum is σ = 263728361971200. Its totient is φ = 33861777269760.

The previous prime is 101654553034109. The next prime is 101654553034127. The reversal of 101654553034116 is 611430355456101.

101654553034116 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 54 + 553 + 0 + 3 + 41 + 1 + 6 = 666.

101654553034116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101654553034116² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1040310501 + ... + 1040408211.

It is an arithmetic number, because the mean of its divisors is an integer number (2747170437200).

Almost surely, 2^{101654553034116} is an apocalyptic number.

It is an amenable number.

101654553034116 is an abundant number, since it is smaller than the sum of its proper divisors (162073808937084).

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

101654553034116 is a wasteful number, since it uses less digits than its factorization.

101654553034116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104186 (or 104178 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 101654553034116 in words is "one hundred one trillion, six hundred fifty-four billion, five hundred fifty-three million, thirty-four thousand, one hundred sixteen".