101565922222080 has 896 divisors, whose sum is σ = 375700806696960. Its totient is φ = 26003063439360.

The previous prime is 101565922222033. The next prime is 101565922222129. The reversal of 101565922222080 is 80222229565101.

101565922222080 is a `hidden beast` number, since 1 + 0 + 1 + 56 + 592 + 2 + 2 + 2 + 2 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4353995377 + ... + 4354018703.

Almost surely, 2^{101565922222080} is an apocalyptic number.

101565922222080 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 101565922222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187850403348480).

101565922222080 is an abundant number, since it is smaller than the sum of its proper divisors (274134884474880).

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

101565922222080 is a wasteful number, since it uses less digits than its factorization.

101565922222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23525 (or 23495 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 101565922222080 in words is "one hundred one trillion, five hundred sixty-five billion, nine hundred twenty-two million, two hundred twenty-two thousand, eighty".