102001102031 has 2 divisors, whose sum is σ = 102001102032. Its totient is φ = 102001102030.

The previous prime is 102001101997. The next prime is 102001102033. The reversal of 102001102031 is 130201100201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102001102031 - 2¹⁴ = 102001085647 is a prime.

It is a super-2 number, since 2×102001102031² (a number of 23 digits) contains 22 as substring.

Together with 102001102033, 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 (102001102033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000551015 + 51000551016.

It is an arithmetic number, because the mean of its divisors is an integer number (51000551016).

Almost surely, 2^102001102031 is an apocalyptic number.

102001102031 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001102031 is an equidigital number, since it uses as much as digits as its factorization.

102001102031 is an evil number, because the sum of its binary digits is even.

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

Adding to 102001102031 its reverse (130201100201), we get a palindrome (232202202232).

The spelling of 102001102031 in words is "one hundred two billion, one million, one hundred two thousand, thirty-one".