102102110202200 has 144 divisors (see below), whose sum is σ = 253019665928160. Its totient is φ = 38308240800000.

The previous prime is 102102110202179. The next prime is 102102110202259. The reversal of 102102110202200 is 2202011201201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 291425 + ... + 14292975.

It is an arithmetic number, because the mean of its divisors is an integer number (1757081013390).

Almost surely, 2^{102102110202200} is an apocalyptic number.

102102110202200 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 102102110202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126509832964080).

102102110202200 is an abundant number, since it is smaller than the sum of its proper divisors (150917555725960).

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

102102110202200 is a wasteful number, since it uses less digits than its factorization.

102102110202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14001706 (or 14001678 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102102110202200 its reverse (2202011201201), we get a palindrome (104304121403401).

Subtracting from 102102110202200 its reverse (2202011201201), we obtain a palindrome (99900099000999).

The spelling of 102102110202200 in words is "one hundred two trillion, one hundred two billion, one hundred ten million, two hundred two thousand, two hundred".