102001112201200 has 240 divisors, whose sum is σ = 265569595020576. Its totient is φ = 37498554777600.

The previous prime is 102001112201147. The next prime is 102001112201201. The reversal of 102001112201200 is 2102211100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001112201201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313714380 + ... + 1313792020.

Almost surely, 2^{102001112201200} is an apocalyptic number.

102001112201200 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 102001112201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132784797510288).

102001112201200 is an abundant number, since it is smaller than the sum of its proper divisors (163568482819376).

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

102001112201200 is a wasteful number, since it uses less digits than its factorization.

102001112201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82212 (or 82201 counting only the distinct ones).

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

Adding to 102001112201200 its reverse (2102211100201), we get a palindrome (104103323301401).

The spelling of 102001112201200 in words is "one hundred two trillion, one billion, one hundred twelve million, two hundred one thousand, two hundred".