22121122103031 has 16 divisors (see below), whose sum is σ = 33797316857600. Its totient is φ = 12607288581888.

The previous prime is 22121122102987. The next prime is 22121122103063. The reversal of 22121122103031 is 13030122112122.

It is not a de Polignac number, because 22121122103031 - 2¹⁰ = 22121122102007 is a prime.

It is a super-2 number, since 2×22121122103031² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22121122102989 and 22121122103007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121122103831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1389684346 + ... + 1389700263.

It is an arithmetic number, because the mean of its divisors is an integer number (2112332303600).

Almost surely, 2^{22121122103031} is an apocalyptic number.

22121122103031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22121122103031 is a deficient number, since it is larger than the sum of its proper divisors (11676194754569).

22121122103031 is a wasteful number, since it uses less digits than its factorization.

22121122103031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779384998.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 22121122103031 its reverse (13030122112122), we get a palindrome (35151244215153).

Subtracting from 22121122103031 its reverse (13030122112122), we obtain a palindrome (9090999990909).

The spelling of 22121122103031 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred three thousand, thirty-one".