100002123100 has 36 divisors (see below), whose sum is σ = 236732301288. Its totient is φ = 36364408000.

The previous prime is 100002123077. The next prime is 100002123107. The reversal of 100002123100 is 1321200001.

It is a super-2 number, since 2×100002123100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002123107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45454411 + ... + 45456610.

It is an arithmetic number, because the mean of its divisors is an integer number (6575897258).

Almost surely, 2^100002123100 is an apocalyptic number.

100002123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002123100 is an abundant number, since it is smaller than the sum of its proper divisors (136730178188).

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

100002123100 is a wasteful number, since it uses less digits than its factorization.

100002123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90911046 (or 90911039 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100002123100 its reverse (1321200001), we get a palindrome (101323323101).

The spelling of 100002123100 in words is "one hundred billion, two million, one hundred twenty-three thousand, one hundred".