102011022123013 has 2 divisors, whose sum is σ = 102011022123014. Its totient is φ = 102011022123012.

The previous prime is 102011022122921. The next prime is 102011022123041. The reversal of 102011022123013 is 310321220110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60963333641604 + 41047688481409 = 7807902^2 + 6406847^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102011022123013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102011022123313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005511061506 + 51005511061507.

It is an arithmetic number, because the mean of its divisors is an integer number (51005511061507).

Almost surely, 2^{102011022123013} is an apocalyptic number.

It is an amenable number.

102011022123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011022123013 is an equidigital number, since it uses as much as digits as its factorization.

102011022123013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102011022123013 its reverse (310321220110201), we get a palindrome (412332242233214).

The spelling of 102011022123013 in words is "one hundred two trillion, eleven billion, twenty-two million, one hundred twenty-three thousand, thirteen".