101001212112123 has 12 divisors (see below), whose sum is σ = 146458307579688. Its totient is φ = 67072140856320.

The previous prime is 101001212112061. The next prime is 101001212112139. The reversal of 101001212112123 is 321211212100101.

It is a happy number.

It is not a de Polignac number, because 101001212112123 - 2¹⁴ = 101001212095739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001212112096 and 101001212112105.

It is not an unprimeable number, because it can be changed into a prime (101001212112623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21833376873 + ... + 21833381498.

It is an arithmetic number, because the mean of its divisors is an integer number (12204858964974).

Almost surely, 2^{101001212112123} is an apocalyptic number.

101001212112123 is a deficient number, since it is larger than the sum of its proper divisors (45457095467565).

101001212112123 is a wasteful number, since it uses less digits than its factorization.

101001212112123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43666758634 (or 43666758631 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101001212112123 its reverse (321211212100101), we get a palindrome (422212424212224).

The spelling of 101001212112123 in words is "one hundred one trillion, one billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty-three".