12101121121000 has 64 divisors (see below), whose sum is σ = 28480303734480. Its totient is φ = 4812468908800.

The previous prime is 12101121120919. The next prime is 12101121121069. The reversal of 12101121121000 is 12112110121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 516124422724 + 11584996698276 = 718418^2 + 3403674^2 .

It is a super-2 number, since 2×12101121121000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34801339 + ... + 35147338.

Almost surely, 2^{12101121121000} is an apocalyptic number.

12101121121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101121121000 is an abundant number, since it is smaller than the sum of its proper divisors (16379182613480).

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

12101121121000 is a wasteful number, since it uses less digits than its factorization.

12101121121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69948871 (or 69948857 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12101121121000 its reverse (12112110121), we get a palindrome (12113233231121).

The spelling of 12101121121000 in words is "twelve trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand".