100123013100 has 144 divisors (see below), whose sum is σ = 316226010240. Its totient is φ = 24256780800.

The previous prime is 100123013057. The next prime is 100123013101. The reversal of 100123013100 is 1310321001.

It is a super-2 number, since 2×100123013100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100123013101) 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, 5677096 + ... + 5694704.

It is an arithmetic number, because the mean of its divisors is an integer number (2196013960).

Almost surely, 2^100123013100 is an apocalyptic number.

100123013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100123013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158113005120).

100123013100 is an abundant number, since it is smaller than the sum of its proper divisors (216102997140).

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

100123013100 is a wasteful number, since it uses less digits than its factorization.

100123013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19360 (or 19353 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100123013100 its reverse (1310321001), we get a palindrome (101433334101).

The spelling of 100123013100 in words is "one hundred billion, one hundred twenty-three million, thirteen thousand, one hundred".