101386567502220 has 1536 divisors, whose sum is σ = 397457503027200. Its totient is φ = 18632540160000.

The previous prime is 101386567502203. The next prime is 101386567502249. The reversal of 101386567502220 is 22205765683101.

It is a self number, because there is not a number n which added to its sum of digits gives 101386567502220.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 131842089996 + ... + 131842090764.

It is an arithmetic number, because the mean of its divisors is an integer number (258761395200).

Almost surely, 2^{101386567502220} is an apocalyptic number.

101386567502220 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 101386567502220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198728751513600).

101386567502220 is an abundant number, since it is smaller than the sum of its proper divisors (296070935524980).

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

101386567502220 is a wasteful number, since it uses less digits than its factorization.

101386567502220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 101386567502220 in words is "one hundred one trillion, three hundred eighty-six billion, five hundred sixty-seven million, five hundred two thousand, two hundred twenty".