12102121201100 has 144 divisors (see below), whose sum is σ = 30368193186240. Its totient is φ = 4100284108800.

The previous prime is 12102121201061. The next prime is 12102121201127. The reversal of 12102121201100 is 110212120121.

12102121201100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12102121201100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108408512 + ... + 108520088.

It is an arithmetic number, because the mean of its divisors is an integer number (210890230460).

Almost surely, 2^{12102121201100} is an apocalyptic number.

12102121201100 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 12102121201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15184096593120).

12102121201100 is an abundant number, since it is smaller than the sum of its proper divisors (18266071985140).

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

12102121201100 is a wasteful number, since it uses less digits than its factorization.

12102121201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113428 (or 113421 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12102121201100 its reverse (110212120121), we get a palindrome (12212333321221).

The spelling of 12102121201100 in words is "twelve trillion, one hundred two billion, one hundred twenty-one million, two hundred one thousand, one hundred".