211122211020 has 96 divisors (see below), whose sum is σ = 692068962816. Its totient is φ = 47079513600.

The previous prime is 211122211009. The next prime is 211122211031. The reversal of 211122211020 is 20112221112.

211122211020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211122211009) and next prime (211122211031).

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

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 31 ways as a sum of consecutive naturals, for example, 6112926 + ... + 6147365.

It is an arithmetic number, because the mean of its divisors is an integer number (7209051696).

Almost surely, 2^211122211020 is an apocalyptic number.

211122211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122211020 is an abundant number, since it is smaller than the sum of its proper divisors (480946751796).

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

211122211020 is a wasteful number, since it uses less digits than its factorization.

211122211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12260351 (or 12260349 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211122211020 its reverse (20112221112), we get a palindrome (231234432132).

The spelling of 211122211020 in words is "two hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand, twenty".