101211110112123 has 192 divisors, whose sum is σ = 169628060160000. Its totient is φ = 57510009849600.

The previous prime is 101211110112097. The next prime is 101211110112131. The reversal of 101211110112123 is 321211011112101.

It is not a de Polignac number, because 101211110112123 - 2⁴⁵ = 66026738023291 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211110112096 and 101211110112105.

It is not an unprimeable number, because it can be changed into a prime (101211160112123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69656647665 + ... + 69656649117.

It is an arithmetic number, because the mean of its divisors is an integer number (883479480000).

Almost surely, 2^{101211110112123} is an apocalyptic number.

101211110112123 is a deficient number, since it is larger than the sum of its proper divisors (68416950047877).

101211110112123 is a wasteful number, since it uses less digits than its factorization.

101211110112123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 101211110112123 its reverse (321211011112101), we get a palindrome (422422121224224).

The spelling of 101211110112123 in words is "one hundred one trillion, two hundred eleven billion, one hundred ten million, one hundred twelve thousand, one hundred twenty-three".