102134234002081 has 2 divisors, whose sum is σ = 102134234002082. Its totient is φ = 102134234002080.

The previous prime is 102134234002069. The next prime is 102134234002117. The reversal of 102134234002081 is 180200432431201.

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., 88176231648400 + 13958002353681 = 9390220^2 + 3736041^2 .

It is a cyclic number.

It is not a de Polignac number, because 102134234002081 - 2²³ = 102134225613473 is a prime.

It is a super-2 number, since 2×102134234002081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102134234002061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51067117001040 + 51067117001041.

It is an arithmetic number, because the mean of its divisors is an integer number (51067117001041).

Almost surely, 2^{102134234002081} is an apocalyptic number.

It is an amenable number.

102134234002081 is a deficient number, since it is larger than the sum of its proper divisors (1).

102134234002081 is an equidigital number, since it uses as much as digits as its factorization.

102134234002081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 102134234002081 its reverse (180200432431201), we get a palindrome (282334666433282).

The spelling of 102134234002081 in words is "one hundred two trillion, one hundred thirty-four billion, two hundred thirty-four million, two thousand, eighty-one".