10221029805504 has 448 divisors, whose sum is σ = 31684734110720. Its totient is φ = 2847673221120.

The previous prime is 10221029805479. The next prime is 10221029805521. The reversal of 10221029805504 is 40550892012201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10221029805504² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 10129860552 + ... + 10129861560.

Almost surely, 2^{10221029805504} is an apocalyptic number.

10221029805504 is a gapful number since it is divisible by the number (14) 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 10221029805504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842367055360).

10221029805504 is an abundant number, since it is smaller than the sum of its proper divisors (21463704305216).

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

10221029805504 is a wasteful number, since it uses less digits than its factorization.

10221029805504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 10221029805504 in words is "ten trillion, two hundred twenty-one billion, twenty-nine million, eight hundred five thousand, five hundred four".