102000212112031 has 2 divisors, whose sum is σ = 102000212112032. Its totient is φ = 102000212112030.

The previous prime is 102000212111879. The next prime is 102000212112059. The reversal of 102000212112031 is 130211212000201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102000212112031 - 2¹⁵ = 102000212079263 is a prime.

It is a super-2 number, since 2×102000212112031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102000212111996 and 102000212112014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102000212115031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000106056015 + 51000106056016.

It is an arithmetic number, because the mean of its divisors is an integer number (51000106056016).

Almost surely, 2^{102000212112031} is an apocalyptic number.

102000212112031 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000212112031 is an equidigital number, since it uses as much as digits as its factorization.

102000212112031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102000212112031 its reverse (130211212000201), we get a palindrome (232211424112232).

The spelling of 102000212112031 in words is "one hundred two trillion, two hundred twelve million, one hundred twelve thousand, thirty-one".