211211101102120 has 64 divisors (see below), whose sum is σ = 543200322873600. Its totient is φ = 72403759610880.

The previous prime is 211211101102091. The next prime is 211211101102129. The reversal of 211211101102120 is 21201101112112.

It is a super-2 number, since 2×211211101102120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211101102094 and 211211101102103.

It is not an unprimeable number, because it can be changed into a prime (211211101102129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57995665 + ... + 61529824.

It is an arithmetic number, because the mean of its divisors is an integer number (8487505044900).

Almost surely, 2^{211211101102120} is an apocalyptic number.

211211101102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211101102120 is an abundant number, since it is smaller than the sum of its proper divisors (331989221771480).

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

211211101102120 is a wasteful number, since it uses less digits than its factorization.

211211101102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119531818 (or 119531814 counting only the distinct ones).

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

Adding to 211211101102120 its reverse (21201101112112), we get a palindrome (232412202214232).

The spelling of 211211101102120 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred one million, one hundred two thousand, one hundred twenty".