102201112010200 has 144 divisors (see below), whose sum is σ = 276434604229320. Its totient is φ = 35037552936960.

The previous prime is 102201112010141. The next prime is 102201112010203. The reversal of 102201112010200 is 2010211102201.

It is a super-2 number, since 2×102201112010200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201112010203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122840007 + ... + 123669193.

Almost surely, 2^{102201112010200} is an apocalyptic number.

102201112010200 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 102201112010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138217302114660).

102201112010200 is an abundant number, since it is smaller than the sum of its proper divisors (174233492219120).

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

102201112010200 is a wasteful number, since it uses less digits than its factorization.

102201112010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841794 (or 841778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102201112010200 its reverse (2010211102201), we get a palindrome (104211323112401).

The spelling of 102201112010200 in words is "one hundred two trillion, two hundred one billion, one hundred twelve million, ten thousand, two hundred".