12102011020121 has 12 divisors (see below), whose sum is σ = 13611564197616. Its totient is φ = 10745971725720.

The previous prime is 12102011020061. The next prime is 12102011020123.

12102011020121 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-12102011020121 is a prime.

It is a super-3 number, since 3×12102011020121³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12102011020096 and 12102011020105.

It is not an unprimeable number, because it can be changed into a prime (12102011020123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1162978751 + ... + 1162989156.

It is an arithmetic number, because the mean of its divisors is an integer number (1134297016468).

Almost surely, 2^{12102011020121} is an apocalyptic number.

12102011020121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102011020121 is a deficient number, since it is larger than the sum of its proper divisors (1509553177495).

12102011020121 is a wasteful number, since it uses less digits than its factorization.

12102011020121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325967972 (or 2325967961 counting only the distinct ones).

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

It can be divided in two parts, 1210201 and 1020121, that added together give a palindrome (2230322).

The spelling of 12102011020121 in words is "twelve trillion, one hundred two billion, eleven million, twenty thousand, one hundred twenty-one".