101394887959680 has 1024 divisors, whose sum is σ = 375116423086080. Its totient is φ = 22819128606720.

The previous prime is 101394887959669. The next prime is 101394887959691. The reversal of 101394887959680 is 86959788493101.

It is an interprime number because it is at equal distance from previous prime (101394887959669) and next prime (101394887959691).

It is a junction number, because it is equal to n+sod(n) for n = 101394887959596 and 101394887959605.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138328632594 + ... + 138328633326.

It is an arithmetic number, because the mean of its divisors is an integer number (366324631920).

Almost surely, 2^{101394887959680} is an apocalyptic number.

101394887959680 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 101394887959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187558211543040).

101394887959680 is an abundant number, since it is smaller than the sum of its proper divisors (273721535126400).

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

101394887959680 is a wasteful number, since it uses less digits than its factorization.

101394887959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 78.

The spelling of 101394887959680 in words is "one hundred one trillion, three hundred ninety-four billion, eight hundred eighty-seven million, nine hundred fifty-nine thousand, six hundred eighty".