211211102200100 has 144 divisors (see below), whose sum is σ = 478603057943808. Its totient is φ = 80848485519360.

The previous prime is 211211102200099. The next prime is 211211102200117. The reversal of 211211102200100 is 1002201112112.

It is a super-2 number, since 2×211211102200100² (a number of 29 digits) contains 22 as substring.

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, 35048834 + ... + 40630566.

It is an arithmetic number, because the mean of its divisors is an integer number (3323632346832).

Almost surely, 2^{211211102200100} is an apocalyptic number.

211211102200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211211102200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239301528971904).

211211102200100 is an abundant number, since it is smaller than the sum of its proper divisors (267391955743708).

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

211211102200100 is a wasteful number, since it uses less digits than its factorization.

211211102200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5581974 (or 5581967 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211211102200100 its reverse (1002201112112), we get a palindrome (212213303312212).

The spelling of 211211102200100 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred two million, two hundred thousand, one hundred".