102200361200 has 120 divisors (see below), whose sum is σ = 280747923840. Its totient is φ = 35023276800.

The previous prime is 102200361173. The next prime is 102200361253. The reversal of 102200361200 is 2163002201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6743231 + ... + 6758369.

It is an arithmetic number, because the mean of its divisors is an integer number (2339566032).

Almost surely, 2^102200361200 is an apocalyptic number.

102200361200 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 102200361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140373961920).

102200361200 is an abundant number, since it is smaller than the sum of its proper divisors (178547562640).

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

102200361200 is a wasteful number, since it uses less digits than its factorization.

102200361200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17575 (or 17564 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102200361200 its reverse (2163002201), we get a palindrome (104363363401).

The spelling of 102200361200 in words is "one hundred two billion, two hundred million, three hundred sixty-one thousand, two hundred".