100022123034 has 96 divisors (see below), whose sum is σ = 227893595904. Its totient is φ = 31644391680.

The previous prime is 100022123023. The next prime is 100022123059. The reversal of 100022123034 is 430321220001.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100022122998 and 100022123016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30576819 + ... + 30580089.

It is an arithmetic number, because the mean of its divisors is an integer number (2373891624).

Almost surely, 2^100022123034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022123034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113946797952).

100022123034 is an abundant number, since it is smaller than the sum of its proper divisors (127871472870).

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

100022123034 is a wasteful number, since it uses less digits than its factorization.

100022123034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100022123034 its reverse (430321220001), we get a palindrome (530343343035).

The spelling of 100022123034 in words is "one hundred billion, twenty-two million, one hundred twenty-three thousand, thirty-four".