101368301162016 has 96 divisors (see below), whose sum is σ = 304622970946560. Its totient is φ = 28913032002816.

The previous prime is 101368301161999. The next prime is 101368301162071. The reversal of 101368301162016 is 610261103863101.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128094196 + ... + 128883123.

It is an arithmetic number, because the mean of its divisors is an integer number (3173155947360).

Almost surely, 2^{101368301162016} is an apocalyptic number.

101368301162016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101368301162016 is an abundant number, since it is smaller than the sum of its proper divisors (203254669784544).

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

101368301162016 is a wasteful number, since it uses less digits than its factorization.

101368301162016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256977926 (or 256977918 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 101368301162016 in words is "one hundred one trillion, three hundred sixty-eight billion, three hundred one million, one hundred sixty-two thousand, sixteen".