211210101220 has 48 divisors (see below), whose sum is σ = 447559161840. Its totient is φ = 83719028736.

The previous prime is 211210101211. The next prime is 211210101229. The reversal of 211210101220 is 22101012112.

It is an interprime number because it is at equal distance from previous prime (211210101211) and next prime (211210101229).

It can be written as a sum of positive squares in 8 ways, for example, as 85694365696 + 125515735524 = 292736^2 + 354282^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 211210101220.

It is not an unprimeable number, because it can be changed into a prime (211210101229) 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, 20364196 + ... + 20374564.

It is an arithmetic number, because the mean of its divisors is an integer number (9324149205).

Almost surely, 2^211210101220 is an apocalyptic number.

211210101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210101220 is an abundant number, since it is smaller than the sum of its proper divisors (236349060620).

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

211210101220 is a wasteful number, since it uses less digits than its factorization.

211210101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19504 (or 19502 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211210101220 its reverse (22101012112), we get a palindrome (233311113332).

The spelling of 211210101220 in words is "two hundred eleven billion, two hundred ten million, one hundred one thousand, two hundred twenty".