10200102022013 has 2 divisors, whose sum is σ = 10200102022014. Its totient is φ = 10200102022012.

The previous prime is 10200102021953. The next prime is 10200102022037. The reversal of 10200102022013 is 31022020100201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6557092305124 + 3643009716889 = 2560682^2 + 1908667^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200102022013 - 2¹⁶ = 10200101956477 is a prime.

It is a super-2 number, since 2×10200102022013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200102022063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100051011006 + 5100051011007.

It is an arithmetic number, because the mean of its divisors is an integer number (5100051011007).

Almost surely, 2^{10200102022013} is an apocalyptic number.

It is an amenable number.

10200102022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200102022013 is an equidigital number, since it uses as much as digits as its factorization.

10200102022013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10200102022013 its reverse (31022020100201), we get a palindrome (41222122122214).

The spelling of 10200102022013 in words is "ten trillion, two hundred billion, one hundred two million, twenty-two thousand, thirteen".