10122133122 has 12 divisors (see below), whose sum is σ = 21931288470. Its totient is φ = 3374044368.

The previous prime is 10122133121. The next prime is 10122133139. The reversal of 10122133122 is 22133122101.

It can be written as a sum of positive squares in only one way, i.e., 7250352201 + 2871780921 = 85149^2 + 53589^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 562340729 = 10122133122 / (1 + 0 + 1 + 2 + 2 + 1 + 3 + 3 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 10122133095 and 10122133104.

It is not an unprimeable number, because it can be changed into a prime (10122133121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281170347 + ... + 281170382.

Almost surely, 2^10122133122 is an apocalyptic number.

10122133122 is an abundant number, since it is smaller than the sum of its proper divisors (11809155348).

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

10122133122 is a wasteful number, since it uses less digits than its factorization.

10122133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562340737 (or 562340734 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10122133122 its reverse (22133122101), we get a palindrome (32255255223).

It can be divided in two parts, 101 and 22133122, that multiplied together give a palindrome (2235445322).

The spelling of 10122133122 in words is "ten billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty-two".