101001112000123 has 2 divisors, whose sum is σ = 101001112000124. Its totient is φ = 101001112000122.

The previous prime is 101001112000081. The next prime is 101001112000183. The reversal of 101001112000123 is 321000211100101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101001112000123 - 2²⁵ = 101001078445691 is a prime.

It is a super-2 number, since 2×101001112000123² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101001112000183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500556000061 + 50500556000062.

It is an arithmetic number, because the mean of its divisors is an integer number (50500556000062).

Almost surely, 2^{101001112000123} is an apocalyptic number.

101001112000123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001112000123 is an equidigital number, since it uses as much as digits as its factorization.

101001112000123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101001112000123 its reverse (321000211100101), we get a palindrome (422001323100224).

The spelling of 101001112000123 in words is "one hundred one trillion, one billion, one hundred twelve million, one hundred twenty-three", and thus it is an aban number.