2211020131122 has 32 divisors (see below), whose sum is σ = 5360048804160. Its totient is φ = 670006100160.

The previous prime is 2211020131109. The next prime is 2211020131157. The reversal of 2211020131122 is 2211310201122.

2211020131122 is a `hidden beast` number, since 22 + 110 + 201 + 311 + 22 = 666.

It is a super-2 number, since 2×2211020131122² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2211020131095 and 2211020131104.

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 15 ways as a sum of consecutive naturals, for example, 1861127463 + ... + 1861128650.

It is an arithmetic number, because the mean of its divisors is an integer number (167501525130).

Almost surely, 2^{2211020131122} is an apocalyptic number.

2211020131122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2211020131122 is an abundant number, since it is smaller than the sum of its proper divisors (3149028673038).

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

2211020131122 is a wasteful number, since it uses less digits than its factorization.

2211020131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722256135 (or 3722256129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2211020131122 its reverse (2211310201122), we get a palindrome (4422330332244).

The spelling of 2211020131122 in words is "two trillion, two hundred eleven billion, twenty million, one hundred thirty-one thousand, one hundred twenty-two".