221020113000 has 64 divisors (see below), whose sum is σ = 689582761920. Its totient is φ = 58938696000.

The previous prime is 221020112977. The next prime is 221020113029. The reversal of 221020113000 is 311020122.

221020113000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36833686 + ... + 36839685.

It is an arithmetic number, because the mean of its divisors is an integer number (10774730655).

Almost surely, 2^221020113000 is an apocalyptic number.

221020113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020113000 is an abundant number, since it is smaller than the sum of its proper divisors (468562648920).

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

221020113000 is a wasteful number, since it uses less digits than its factorization.

221020113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73673395 (or 73673381 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 221020113000 its reverse (311020122), we get a palindrome (221331133122).

The spelling of 221020113000 in words is "two hundred twenty-one billion, twenty million, one hundred thirteen thousand".