100122102030 has 64 divisors (see below), whose sum is σ = 246047735808. Its totient is φ = 26062790400.

The previous prime is 100122101969. The next prime is 100122102103. The reversal of 100122102030 is 30201221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122101997 and 100122102015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447330 + ... + 632730.

It is an arithmetic number, because the mean of its divisors is an integer number (3844495872).

Almost surely, 2^100122102030 is an apocalyptic number.

100122102030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122102030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123023867904).

100122102030 is an abundant number, since it is smaller than the sum of its proper divisors (145925633778).

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

100122102030 is a wasteful number, since it uses less digits than its factorization.

100122102030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185841.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100122102030 its reverse (30201221001), we get a palindrome (130323323031).

The spelling of 100122102030 in words is "one hundred billion, one hundred twenty-two million, one hundred two thousand, thirty".