22101011101123 has 2 divisors, whose sum is σ = 22101011101124. Its totient is φ = 22101011101122.

The previous prime is 22101011101079. The next prime is 22101011101157. The reversal of 22101011101123 is 32110111010122.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 22101011101123 - 2²⁵ = 22100977546691 is a prime.

It is a super-2 number, since 2×22101011101123² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22101011101097 and 22101011101106.

It is not a weakly prime, because it can be changed into another prime (22101011101223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050505550561 + 11050505550562.

It is an arithmetic number, because the mean of its divisors is an integer number (11050505550562).

Almost surely, 2^{22101011101123} is an apocalyptic number.

22101011101123 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101011101123 is an equidigital number, since it uses as much as digits as its factorization.

22101011101123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 22101011101123 its reverse (32110111010122), we get a palindrome (54211122111245).

The spelling of 22101011101123 in words is "twenty-two trillion, one hundred one billion, eleven million, one hundred one thousand, one hundred twenty-three".