101038816753616 has 20 divisors (see below), whose sum is σ = 223728808526112. Its totient is φ = 43302350037216.

The previous prime is 101038816753583. The next prime is 101038816753627. The reversal of 101038816753616 is 616357618830101.

101038816753616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 451066146110 + ... + 451066146333.

Almost surely, 2^{101038816753616} is an apocalyptic number.

101038816753616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101038816753616 is an abundant number, since it is smaller than the sum of its proper divisors (122689991772496).

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

101038816753616 is an equidigital number, since it uses as much as digits as its factorization.

101038816753616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902132292458 (or 902132292452 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 101038816753616 in words is "one hundred one trillion, thirty-eight billion, eight hundred sixteen million, seven hundred fifty-three thousand, six hundred sixteen".