102011200010200 has 192 divisors, whose sum is σ = 256663334995200. Its totient is φ = 37482505574400.

The previous prime is 102011200010171. The next prime is 102011200010221. The reversal of 102011200010200 is 2010002110201.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1589199706 + ... + 1589263894.

It is an arithmetic number, because the mean of its divisors is an integer number (1336788203100).

Almost surely, 2^{102011200010200} is an apocalyptic number.

102011200010200 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 102011200010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128331667497600).

102011200010200 is an abundant number, since it is smaller than the sum of its proper divisors (154652134985000).

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

102011200010200 is a wasteful number, since it uses less digits than its factorization.

102011200010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67182 (or 67173 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102011200010200 its reverse (2010002110201), we get a palindrome (104021202120401).

The spelling of 102011200010200 in words is "one hundred two trillion, eleven billion, two hundred million, ten thousand, two hundred".