211211102120 has 16 divisors (see below), whose sum is σ = 475224979860. Its totient is φ = 84484440832.

The previous prime is 211211102119. The next prime is 211211102209. The reversal of 211211102120 is 21201112112.

It can be written as a sum of positive squares in 2 ways, for example, as 202681840804 + 8529261316 = 450202^2 + 92354^2 .

It is a super-2 number, since 2×211211102120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211102095 and 211211102104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2640138737 + ... + 2640138816.

Almost surely, 2^211211102120 is an apocalyptic number.

211211102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211102120 is an abundant number, since it is smaller than the sum of its proper divisors (264013877740).

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

211211102120 is a wasteful number, since it uses less digits than its factorization.

211211102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280277564 (or 5280277560 counting only the distinct ones).

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

Adding to 211211102120 its reverse (21201112112), we get a palindrome (232412214232).

The spelling of 211211102120 in words is "two hundred eleven billion, two hundred eleven million, one hundred two thousand, one hundred twenty".