101402219759680 has 560 divisors, whose sum is σ = 302828061530880. Its totient is φ = 32235662721024.

The previous prime is 101402219759669. The next prime is 101402219759693. The reversal of 101402219759680 is 86957912204101.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 686035864 + ... + 686183656.

Almost surely, 2^{101402219759680} is an apocalyptic number.

101402219759680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101402219759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151414030765440).

101402219759680 is an abundant number, since it is smaller than the sum of its proper divisors (201425841771200).

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

101402219759680 is an equidigital number, since it uses as much as digits as its factorization.

101402219759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147904 (or 147873 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 55.

The spelling of 101402219759680 in words is "one hundred one trillion, four hundred two billion, two hundred nineteen million, seven hundred fifty-nine thousand, six hundred eighty".