102123100100 has 108 divisors (see below), whose sum is σ = 258090762384. Its totient is φ = 34972499520.

The previous prime is 102123100097. The next prime is 102123100117. The reversal of 102123100100 is 1001321201.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4314899 + ... + 4338501.

Almost surely, 2^102123100100 is an apocalyptic number.

102123100100 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 102123100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129045381192).

102123100100 is an abundant number, since it is smaller than the sum of its proper divisors (155967662284).

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

102123100100 is a wasteful number, since it uses less digits than its factorization.

102123100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24514 (or 24500 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 102123100100 its reverse (1001321201), we get a palindrome (103124421301).

The spelling of 102123100100 in words is "one hundred two billion, one hundred twenty-three million, one hundred thousand, one hundred".