221010100221000 has 64 divisors (see below), whose sum is σ = 689551512698880. Its totient is φ = 58936026724800.

The previous prime is 221010100220957. The next prime is 221010100221017. The reversal of 221010100221000 is 122001010122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36835013704 + ... + 36835019703.

It is an arithmetic number, because the mean of its divisors is an integer number (10774242385920).

Almost surely, 2^{221010100221000} is an apocalyptic number.

221010100221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010100221000 is an abundant number, since it is smaller than the sum of its proper divisors (468541412477880).

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

221010100221000 is a wasteful number, since it uses less digits than its factorization.

221010100221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73670033431 (or 73670033417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221010100221000 its reverse (122001010122), we get a palindrome (221132101231122).

The spelling of 221010100221000 in words is "two hundred twenty-one trillion, ten billion, one hundred million, two hundred twenty-one thousand".