221211212100100 has 36 divisors (see below), whose sum is σ = 480031631333044. Its totient is φ = 88483876346880.

The previous prime is 221211212100071. The next prime is 221211212100119. The reversal of 221211212100100 is 1001212112122.

221211212100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 274559232256 + 220936652867844 = 523984^2 + 14863938^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7150552 + ... + 22216048.

Almost surely, 2^{221211212100100} is an apocalyptic number.

221211212100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211212100100 is an abundant number, since it is smaller than the sum of its proper divisors (258820419232944).

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

221211212100100 is a wasteful number, since it uses less digits than its factorization.

221211212100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15212344 (or 15212337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221211212100100 its reverse (1001212112122), we get a palindrome (222212424212222).

The spelling of 221211212100100 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred twelve million, one hundred thousand, one hundred".