102123111100 has 72 divisors (see below), whose sum is σ = 222446700000. Its totient is φ = 40694784000.

The previous prime is 102123111091. The next prime is 102123111131. The reversal of 102123111100 is 1111321201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50083881 + ... + 50085919.

It is an arithmetic number, because the mean of its divisors is an integer number (3089537500).

Almost surely, 2^102123111100 is an apocalyptic number.

102123111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102123111100 is an abundant number, since it is smaller than the sum of its proper divisors (120323588900).

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

102123111100 is a wasteful number, since it uses less digits than its factorization.

102123111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102123111100 its reverse (1111321201), we get a palindrome (103234432301).

The spelling of 102123111100 in words is "one hundred two billion, one hundred twenty-three million, one hundred eleven thousand, one hundred".