102102001031 has 2 divisors, whose sum is σ = 102102001032. Its totient is φ = 102102001030.

The previous prime is 102102001019. The next prime is 102102001033. The reversal of 102102001031 is 130100201201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102102001031 - 2⁶ = 102102000967 is a prime.

It is a super-2 number, since 2×102102001031² (a number of 23 digits) contains 22 as substring.

Together with 102102001033, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102102001033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051000515 + 51051000516.

It is an arithmetic number, because the mean of its divisors is an integer number (51051000516).

Almost surely, 2^102102001031 is an apocalyptic number.

102102001031 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102001031 is an equidigital number, since it uses as much as digits as its factorization.

102102001031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 102102001031 its reverse (130100201201), we get a palindrome (232202202232).

The spelling of 102102001031 in words is "one hundred two billion, one hundred two million, one thousand, thirty-one".