10102101123 has 8 divisors (see below), whose sum is σ = 13470019600. Its totient is φ = 6734458368.

The previous prime is 10102101059. The next prime is 10102101167. The reversal of 10102101123 is 32110120101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10102101123 - 2⁶ = 10102101059 is a prime.

It is a super-2 number, since 2×10102101123² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102101099 and 10102101108.

It is not an unprimeable number, because it can be changed into a prime (10102101523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42123 + ... + 148251.

It is an arithmetic number, because the mean of its divisors is an integer number (1683752450).

Almost surely, 2^10102101123 is an apocalyptic number.

10102101123 is a deficient number, since it is larger than the sum of its proper divisors (3367918477).

10102101123 is a wasteful number, since it uses less digits than its factorization.

10102101123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137861.

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

Adding to 10102101123 its reverse (32110120101), we get a palindrome (42212221224).

The spelling of 10102101123 in words is "ten billion, one hundred two million, one hundred one thousand, one hundred twenty-three".