221010011300 has 72 divisors (see below), whose sum is σ = 546864826536. Its totient is φ = 76803471360.

The previous prime is 221010011251. The next prime is 221010011311. The reversal of 221010011300 is 3110010122.

It can be written as a sum of positive squares in 12 ways, for example, as 9100778404 + 211909232896 = 95398^2 + 460336^2 .

It is a super-2 number, since 2×221010011300² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4978127 + ... + 5022326.

It is an arithmetic number, because the mean of its divisors is an integer number (7595344813).

Almost surely, 2^221010011300 is an apocalyptic number.

221010011300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010011300 is an abundant number, since it is smaller than the sum of its proper divisors (325854815236).

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

221010011300 is a wasteful number, since it uses less digits than its factorization.

221010011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000497 (or 10000490 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 221010011300 its reverse (3110010122), we get a palindrome (224120021422).

The spelling of 221010011300 in words is "two hundred twenty-one billion, ten million, eleven thousand, three hundred".