102111201010200 has 192 divisors, whose sum is σ = 319695274041120. Its totient is φ = 26958666240000.

The previous prime is 102111201010199. The next prime is 102111201010289. The reversal of 102111201010200 is 2010102111201.

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 47 ways as a sum of consecutive naturals, for example, 1783853580 + ... + 1783910820.

Almost surely, 2^{102111201010200} is an apocalyptic number.

102111201010200 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 102111201010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159847637020560).

102111201010200 is an abundant number, since it is smaller than the sum of its proper divisors (217584073030920).

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

102111201010200 is a wasteful number, since it uses less digits than its factorization.

102111201010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86798 (or 86789 counting only the distinct ones).

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

Adding to 102111201010200 its reverse (2010102111201), we get a palindrome (104121303121401).

The spelling of 102111201010200 in words is "one hundred two trillion, one hundred eleven billion, two hundred one million, ten thousand, two hundred".