211111121310 has 64 divisors (see below), whose sum is σ = 507517373952. Its totient is φ = 56201878656.

The previous prime is 211111121261. The next prime is 211111121329. The reversal of 211111121310 is 13121111112.

211111121310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211111121310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211111121310.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63073057 + ... + 63076403.

It is an arithmetic number, because the mean of its divisors is an integer number (7929958968).

Almost surely, 2^211111121310 is an apocalyptic number.

211111121310 is an abundant number, since it is smaller than the sum of its proper divisors (296406252642).

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

211111121310 is a wasteful number, since it uses less digits than its factorization.

211111121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 211111121310 its reverse (13121111112), we get a palindrome (224232232422).

The spelling of 211111121310 in words is "two hundred eleven billion, one hundred eleven million, one hundred twenty-one thousand, three hundred ten".