102100122031 has 2 divisors, whose sum is σ = 102100122032. Its totient is φ = 102100122030.

The previous prime is 102100122029. The next prime is 102100122077. The reversal of 102100122031 is 130221001201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102100122031 - 2¹ = 102100122029 is a prime.

It is a super-2 number, since 2×102100122031² (a number of 23 digits) contains 22 as substring.

Together with 102100122029, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100122011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050061015 + 51050061016.

It is an arithmetic number, because the mean of its divisors is an integer number (51050061016).

Almost surely, 2^102100122031 is an apocalyptic number.

102100122031 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100122031 is an equidigital number, since it uses as much as digits as its factorization.

102100122031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102100122031 its reverse (130221001201), we get a palindrome (232321123232).

The spelling of 102100122031 in words is "one hundred two billion, one hundred million, one hundred twenty-two thousand, thirty-one".