101773221264 has 240 divisors, whose sum is σ = 335937498624. Its totient is φ = 28355788800.

The previous prime is 101773221211. The next prime is 101773221271. The reversal of 101773221264 is 462122377101.

101773221264 is a `hidden beast` number, since 1 + 0 + 1 + 77 + 322 + 1 + 264 = 666.

It is a super-2 number, since 2×101773221264² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5282529 + ... + 5301759.

Almost surely, 2^101773221264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101773221264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167968749312).

101773221264 is an abundant number, since it is smaller than the sum of its proper divisors (234164277360).

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

101773221264 is a wasteful number, since it uses less digits than its factorization.

101773221264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19526 (or 19517 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 101773221264 its reverse (462122377101), we get a palindrome (563895598365).

The spelling of 101773221264 in words is "one hundred one billion, seven hundred seventy-three million, two hundred twenty-one thousand, two hundred sixty-four".