221210220210100 has 108 divisors (see below), whose sum is σ = 532856162733804. Its totient is φ = 79643643200000.

The previous prime is 221210220210071. The next prime is 221210220210113. The reversal of 221210220210100 is 1012022012122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17117052700176 + 204093167509924 = 4137276^2 + 14286118^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89282041 + ... + 91726240.

Almost surely, 2^{221210220210100} is an apocalyptic number.

221210220210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221210220210100 is an abundant number, since it is smaller than the sum of its proper divisors (311645942523704).

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

221210220210100 is a wasteful number, since it uses less digits than its factorization.

221210220210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181008418 (or 181008400 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221210220210100 its reverse (1012022012122), we get a palindrome (222222242222222).

The spelling of 221210220210100 in words is "two hundred twenty-one trillion, two hundred ten billion, two hundred twenty million, two hundred ten thousand, one hundred".