12101022111200 has 216 divisors, whose sum is σ = 32492496972096. Its totient is φ = 4397508403200.

The previous prime is 12101022111181. The next prime is 12101022111253. The reversal of 12101022111200 is 211122010121.

It is a super-2 number, since 2×12101022111200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151645712 + ... + 151725488.

Almost surely, 2^{12101022111200} is an apocalyptic number.

12101022111200 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 12101022111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16246248486048).

12101022111200 is an abundant number, since it is smaller than the sum of its proper divisors (20391474860896).

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

12101022111200 is a wasteful number, since it uses less digits than its factorization.

12101022111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81386 (or 81362 counting only the distinct ones).

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

Adding to 12101022111200 its reverse (211122010121), we get a palindrome (12312144121321).

The spelling of 12101022111200 in words is "twelve trillion, one hundred one billion, twenty-two million, one hundred eleven thousand, two hundred".