12101013321200 has 120 divisors (see below), whose sum is σ = 29186779968192. Its totient is φ = 4821432744960.

The previous prime is 12101013321167. The next prime is 12101013321247. The reversal of 12101013321200 is 212331010121.

12101013321200 is digitally balanced in base 2, 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, 168227642 + ... + 168299558.

Almost surely, 2^{12101013321200} is an apocalyptic number.

12101013321200 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 12101013321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593389984096).

12101013321200 is an abundant number, since it is smaller than the sum of its proper divisors (17085766646992).

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

12101013321200 is a wasteful number, since it uses less digits than its factorization.

12101013321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73579 (or 73568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12101013321200 its reverse (212331010121), we get a palindrome (12313344331321).

The spelling of 12101013321200 in words is "twelve trillion, one hundred one billion, thirteen million, three hundred twenty-one thousand, two hundred".