102202002001123 has 2 divisors, whose sum is σ = 102202002001124. Its totient is φ = 102202002001122.

The previous prime is 102202002001103. The next prime is 102202002001277. The reversal of 102202002001123 is 321100200202201.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102202002001123 - 2³⁷ = 102064563047651 is a prime.

It is a super-2 number, since 2×102202002001123² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102202002001097 and 102202002001106.

It is not a weakly prime, because it can be changed into another prime (102202002001103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101001000561 + 51101001000562.

It is an arithmetic number, because the mean of its divisors is an integer number (51101001000562).

Almost surely, 2^{102202002001123} is an apocalyptic number.

102202002001123 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202002001123 is an equidigital number, since it uses as much as digits as its factorization.

102202002001123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102202002001123 its reverse (321100200202201), we get a palindrome (423302202203324).

The spelling of 102202002001123 in words is "one hundred two trillion, two hundred two billion, two million, one thousand, one hundred twenty-three".