102120201200 has 120 divisors (see below), whose sum is σ = 251256263808. Its totient is φ = 39865271040.

The previous prime is 102120201191. The next prime is 102120201223. The reversal of 102120201200 is 2102021201.

It is a happy number.

102120201200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 38578277 + ... + 38580923.

Almost surely, 2^102120201200 is an apocalyptic number.

102120201200 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 102120201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125628131904).

102120201200 is an abundant number, since it is smaller than the sum of its proper divisors (149136062608).

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

102120201200 is a wasteful number, since it uses less digits than its factorization.

102120201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4951 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102120201200 its reverse (2102021201), we get a palindrome (104222222401).

The spelling of 102120201200 in words is "one hundred two billion, one hundred twenty million, two hundred one thousand, two hundred".