102102012111100 has 72 divisors (see below), whose sum is σ = 225789339682368. Its totient is φ = 40061779680000.

The previous prime is 102102012111083. The next prime is 102102012111167. The reversal of 102102012111100 is 1111210201201.

It is a happy number.

It is a super-2 number, since 2×102102012111100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23152882 + ... + 27207718.

It is an arithmetic number, because the mean of its divisors is an integer number (3135963051144).

Almost surely, 2^{102102012111100} is an apocalyptic number.

102102012111100 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 102102012111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112894669841184).

102102012111100 is an abundant number, since it is smaller than the sum of its proper divisors (123687327571268).

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

102102012111100 is a wasteful number, since it uses less digits than its factorization.

102102012111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059655 (or 4059648 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102102012111100 its reverse (1111210201201), we get a palindrome (103213222312301).

The spelling of 102102012111100 in words is "one hundred two trillion, one hundred two billion, twelve million, one hundred eleven thousand, one hundred".