211211100222100 has 144 divisors (see below), whose sum is σ = 531520758619200. Its totient is φ = 72041304960000.

The previous prime is 211211100222053. The next prime is 211211100222139. The reversal of 211211100222100 is 1222001112112.

It is a super-2 number, since 2×211211100222100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47917785 + ... + 52139584.

It is an arithmetic number, because the mean of its divisors is an integer number (3691116379300).

Almost surely, 2^{211211100222100} is an apocalyptic number.

211211100222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211100222100 is an abundant number, since it is smaller than the sum of its proper divisors (320309658397100).

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

211211100222100 is a wasteful number, since it uses less digits than its factorization.

211211100222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100057514 (or 100057507 counting only the distinct ones).

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

Adding to 211211100222100 its reverse (1222001112112), we get a palindrome (212433101334212).

The spelling of 211211100222100 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred million, two hundred twenty-two thousand, one hundred".