2112121013021 has 2 divisors, whose sum is σ = 2112121013022. Its totient is φ = 2112121013020.

The previous prime is 2112121012999. The next prime is 2112121013053. The reversal of 2112121013021 is 1203101212112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1351606207396 + 760514805625 = 1162586^2 + 872075^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112121013021 - 2³⁰ = 2111047271197 is a prime.

It is a super-2 number, since 2×2112121013021² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112121015021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056060506510 + 1056060506511.

It is an arithmetic number, because the mean of its divisors is an integer number (1056060506511).

Almost surely, 2^{2112121013021} is an apocalyptic number.

It is an amenable number.

2112121013021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112121013021 is an equidigital number, since it uses as much as digits as its factorization.

2112121013021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2112121013021 its reverse (1203101212112), we get a palindrome (3315222225133).

The spelling of 2112121013021 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, thirteen thousand, twenty-one".