102042202120031 has 2 divisors, whose sum is σ = 102042202120032. Its totient is φ = 102042202120030.

The previous prime is 102042202119997. The next prime is 102042202120139. The reversal of 102042202120031 is 130021202240201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102042202120031 - 2¹⁰ = 102042202119007 is a prime.

It is a super-2 number, since 2×102042202120031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102042202119985 and 102042202120012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102042202120531) 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, 51021101060015 + 51021101060016.

It is an arithmetic number, because the mean of its divisors is an integer number (51021101060016).

Almost surely, 2^{102042202120031} is an apocalyptic number.

102042202120031 is a deficient number, since it is larger than the sum of its proper divisors (1).

102042202120031 is an equidigital number, since it uses as much as digits as its factorization.

102042202120031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102042202120031 its reverse (130021202240201), we get a palindrome (232063404360232).

The spelling of 102042202120031 in words is "one hundred two trillion, forty-two billion, two hundred two million, one hundred twenty thousand, thirty-one".