12001100112121 has 8 divisors (see below), whose sum is σ = 12451770718920. Its totient is φ = 11552885476608.

The previous prime is 12001100112101. The next prime is 12001100112137. The reversal of 12001100112121 is 12121100110021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1551429678096 + 10449670434025 = 1245564^2 + 3232595^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12001100112121 - 2¹⁹ = 12001099587833 is a prime.

It is a super-2 number, since 2×12001100112121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001100112101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 613982866 + ... + 614002411.

It is an arithmetic number, because the mean of its divisors is an integer number (1556471339865).

Almost surely, 2^{12001100112121} is an apocalyptic number.

It is an amenable number.

12001100112121 is a deficient number, since it is larger than the sum of its proper divisors (450670606799).

12001100112121 is a wasteful number, since it uses less digits than its factorization.

12001100112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227985643.

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

Adding to 12001100112121 its reverse (12121100110021), we get a palindrome (24122200222142).

The spelling of 12001100112121 in words is "twelve trillion, one billion, one hundred million, one hundred twelve thousand, one hundred twenty-one".