2211122100 has 72 divisors (see below), whose sum is σ = 6979115808. Its totient is φ = 536028800.

The previous prime is 2211122099. The next prime is 2211122101. The reversal of 2211122100 is 12211122.

It is an interprime number because it is at equal distance from previous prime (2211122099) and next prime (2211122101).

It is a super-2 number, since 2×2211122100² = 9778121882216820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211122101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331719 + ... + 338318.

It is an arithmetic number, because the mean of its divisors is an integer number (96932164).

Almost surely, 2^2211122100 is an apocalyptic number.

2211122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211122100 is an abundant number, since it is smaller than the sum of its proper divisors (4767993708).

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

2211122100 is a wasteful number, since it uses less digits than its factorization.

2211122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670065 (or 670058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2211122100 is about 47022.5701126597. The cubic root of 2211122100 is about 1302.7794771408.

Adding to 2211122100 its reverse (12211122), we get a palindrome (2223333222).

The spelling of 2211122100 in words is "two billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".