102102121111100 has 36 divisors (see below), whose sum is σ = 241703566705608. Its totient is φ = 37128044040000.

The previous prime is 102102121111051. The next prime is 102102121111129. The reversal of 102102121111100 is 1111121201201.

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 11 ways as a sum of consecutive naturals, for example, 46410053951 + ... + 46410056150.

Almost surely, 2^{102102121111100} is an apocalyptic number.

102102121111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102121111100 is an abundant number, since it is smaller than the sum of its proper divisors (139601445594508).

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

102102121111100 is a wasteful number, since it uses less digits than its factorization.

102102121111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92820110126 (or 92820110119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102102121111100 its reverse (1111121201201), we get a palindrome (103213242312301).

The spelling of 102102121111100 in words is "one hundred two trillion, one hundred two billion, one hundred twenty-one million, one hundred eleven thousand, one hundred".