10123222122 has 96 divisors (see below), whose sum is σ = 23928624720. Its totient is φ = 3074457600.

The previous prime is 10123222069. The next prime is 10123222127. The reversal of 10123222122 is 22122232101.

It can be written as a sum of positive squares in 8 ways, for example, as 3095920881 + 7027301241 = 55641^2 + 83829^2 .

It is a super-2 number, since 2×10123222122² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10123222095 and 10123222104.

It is not an unprimeable number, because it can be changed into a prime (10123222127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13163754 + ... + 13164522.

Almost surely, 2^10123222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10123222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11964312360).

10123222122 is an abundant number, since it is smaller than the sum of its proper divisors (13805402598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10123222122 is a wasteful number, since it uses less digits than its factorization.

10123222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10123222122 its reverse (22122232101), we get a palindrome (32245454223).

The spelling of 10123222122 in words is "ten billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred twenty-two".