211122101000 has 32 divisors (see below), whose sum is σ = 494025718680. Its totient is φ = 84448840000.

The previous prime is 211122100999. The next prime is 211122101011. The reversal of 211122101000 is 101221112.

211122101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32407920484 + 178714180516 = 180022^2 + 422746^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105560051 + ... + 105562050.

Almost surely, 2^211122101000 is an apocalyptic number.

211122101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122101000 is an abundant number, since it is smaller than the sum of its proper divisors (282903617680).

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

211122101000 is a wasteful number, since it uses less digits than its factorization.

211122101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211122122 (or 211122108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211122101000 its reverse (101221112), we get a palindrome (211223322112).

The spelling of 211122101000 in words is "two hundred eleven billion, one hundred twenty-two million, one hundred one thousand".