221001113100 has 72 divisors (see below), whose sum is σ = 640732615488. Its totient is φ = 58813563200.

The previous prime is 221001113071. The next prime is 221001113101. The reversal of 221001113100 is 1311100122.

221001113100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221001113100² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (221001113101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 602874 + ... + 897473.

It is an arithmetic number, because the mean of its divisors is an integer number (8899064104).

Almost surely, 2^221001113100 is an apocalyptic number.

221001113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001113100 is an abundant number, since it is smaller than the sum of its proper divisors (419731502388).

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

221001113100 is a wasteful number, since it uses less digits than its factorization.

221001113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500855 (or 1500848 counting only the distinct ones).

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

Adding to 221001113100 its reverse (1311100122), we get a palindrome (222312213222).

The spelling of 221001113100 in words is "two hundred twenty-one billion, one million, one hundred thirteen thousand, one hundred".