101511416016 has 30 divisors (see below), whose sum is σ = 284090977170. Its totient is φ = 33837138624.

The previous prime is 101511416009. The next prime is 101511416059. The reversal of 101511416016 is 610614115101.

101511416016 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 11 + 41 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79219731600 + 22291684416 = 281460^2 + 149304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 352470051 + ... + 352470338.

It is an arithmetic number, because the mean of its divisors is an integer number (9469699239).

Almost surely, 2^101511416016 is an apocalyptic number.

101511416016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101511416016 is an abundant number, since it is smaller than the sum of its proper divisors (182579561154).

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

101511416016 is a wasteful number, since it uses less digits than its factorization.

101511416016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704940403 (or 704940394 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

It can be divided in two parts, 1015 and 11416016, that added together give a triangular number (11417031 = T₄₇₇₈).

The spelling of 101511416016 in words is "one hundred one billion, five hundred eleven million, four hundred sixteen thousand, sixteen".