100123123100 has 144 divisors (see below), whose sum is σ = 291715662336. Its totient is φ = 28806624000.

The previous prime is 100123123097. The next prime is 100123123117. The reversal of 100123123100 is 1321321001.

It is a super-2 number, since 2×100123123100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400016 + ... + 600215.

Almost surely, 2^100123123100 is an apocalyptic number.

100123123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100123123100 is an abundant number, since it is smaller than the sum of its proper divisors (191592539236).

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

100123123100 is a wasteful number, since it uses less digits than its factorization.

100123123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000276 (or 1000269 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100123123100 its reverse (1321321001), we get a palindrome (101444444101).

The spelling of 100123123100 in words is "one hundred billion, one hundred twenty-three million, one hundred twenty-three thousand, one hundred".