101112221123 has 2 divisors, whose sum is σ = 101112221124. Its totient is φ = 101112221122.

The previous prime is 101112221099. The next prime is 101112221141. The reversal of 101112221123 is 321122211101.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (321122211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101112221123 - 2²² = 101108026819 is a prime.

It is a super-2 number, since 2×101112221123² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101112221153) by changing a digit.

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 as a sum of consecutive naturals, namely, 50556110561 + 50556110562.

It is an arithmetic number, because the mean of its divisors is an integer number (50556110562).

Almost surely, 2^101112221123 is an apocalyptic number.

101112221123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112221123 is an equidigital number, since it uses as much as digits as its factorization.

101112221123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101112221123 its reverse (321122211101), we get a palindrome (422234432224).

The spelling of 101112221123 in words is "one hundred one billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty-three".