211122212110100 has 72 divisors (see below), whose sum is σ = 461220236223936. Its totient is φ = 83880338400000.

The previous prime is 211122212110093. The next prime is 211122212110157. The reversal of 211122212110100 is 1011212221112.

It is a congruent number.

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, 136505120 + ... + 138043080.

Almost surely, 2^{211122212110100} is an apocalyptic number.

211122212110100 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 211122212110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230610118111968).

211122212110100 is an abundant number, since it is smaller than the sum of its proper divisors (250098024113836).

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

211122212110100 is a wasteful number, since it uses less digits than its factorization.

211122212110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547217 (or 1547210 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211122212110100 its reverse (1011212221112), we get a palindrome (212133424331212).

The spelling of 211122212110100 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twelve million, one hundred ten thousand, one hundred".