102102111010200 has 768 divisors, whose sum is σ = 377429465825280. Its totient is φ = 22341600000000.

The previous prime is 102102111010189. The next prime is 102102111010253. The reversal of 102102111010200 is 2010111201201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19080937525 + ... + 19080942875.

It is an arithmetic number, because the mean of its divisors is an integer number (491444616960).

Almost surely, 2^{102102111010200} is an apocalyptic number.

102102111010200 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 102102111010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188714732912640).

102102111010200 is an abundant number, since it is smaller than the sum of its proper divisors (275327354815080).

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

102102111010200 is a wasteful number, since it uses less digits than its factorization.

102102111010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6960 (or 6951 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102102111010200 its reverse (2010111201201), we get a palindrome (104112222211401).

The spelling of 102102111010200 in words is "one hundred two trillion, one hundred two billion, one hundred eleven million, ten thousand, two hundred".