102013255142101 has 2 divisors, whose sum is σ = 102013255142102. Its totient is φ = 102013255142100.

The previous prime is 102013255142023. The next prime is 102013255142107. The reversal of 102013255142101 is 101241552310201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70824090647025 + 31189164495076 = 8415705^2 + 5584726^2 .

It is a cyclic number.

It is not a de Polignac number, because 102013255142101 - 2¹⁵ = 102013255109333 is a prime.

It is a super-2 number, since 2×102013255142101² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102013255142101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102013255142107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006627571050 + 51006627571051.

It is an arithmetic number, because the mean of its divisors is an integer number (51006627571051).

Almost surely, 2^{102013255142101} is an apocalyptic number.

It is an amenable number.

102013255142101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102013255142101 is an equidigital number, since it uses as much as digits as its factorization.

102013255142101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 102013255142101 in words is "one hundred two trillion, thirteen billion, two hundred fifty-five million, one hundred forty-two thousand, one hundred one".