102200102212110 has 256 divisors, whose sum is σ = 290541715568640. Its totient is φ = 22511350794240.

The previous prime is 102200102212073. The next prime is 102200102212121. The reversal of 102200102212110 is 11212201002201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102200102212110.

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 127 ways as a sum of consecutive naturals, for example, 17539057017 + ... + 17539062843.

It is an arithmetic number, because the mean of its divisors is an integer number (1134928576440).

Almost surely, 2^{102200102212110} is an apocalyptic number.

102200102212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200102212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145270857784320).

102200102212110 is an abundant number, since it is smaller than the sum of its proper divisors (188341613356530).

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

102200102212110 is a wasteful number, since it uses less digits than its factorization.

102200102212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10891.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102200102212110 its reverse (11212201002201), we get a palindrome (113412303214311).

The spelling of 102200102212110 in words is "one hundred two trillion, two hundred billion, one hundred two million, two hundred twelve thousand, one hundred ten".