10120021212013 has 2 divisors, whose sum is σ = 10120021212014. Its totient is φ = 10120021212012.

The previous prime is 10120021211969. The next prime is 10120021212023. The reversal of 10120021212013 is 31021212002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8817348237604 + 1302672974409 = 2969402^2 + 1141347^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120021212013 - 2¹⁷ = 10120021080941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120021212023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060010606006 + 5060010606007.

It is an arithmetic number, because the mean of its divisors is an integer number (5060010606007).

Almost surely, 2^{10120021212013} is an apocalyptic number.

It is an amenable number.

10120021212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120021212013 is an equidigital number, since it uses as much as digits as its factorization.

10120021212013 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 16.

Adding to 10120021212013 its reverse (31021212002101), we get a palindrome (41141233214114).

The spelling of 10120021212013 in words is "ten trillion, one hundred twenty billion, twenty-one million, two hundred twelve thousand, thirteen".