10000102200031 has 2 divisors, whose sum is σ = 10000102200032. Its totient is φ = 10000102200030.

The previous prime is 10000102200019. The next prime is 10000102200119. The reversal of 10000102200031 is 13000220100001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10000102200031 - 2¹¹ = 10000102197983 is a prime.

It is a super-2 number, since 2×10000102200031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000102199990 and 10000102200017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000102200001) 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, 5000051100015 + 5000051100016.

It is an arithmetic number, because the mean of its divisors is an integer number (5000051100016).

Almost surely, 2^{10000102200031} is an apocalyptic number.

10000102200031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000102200031 is an equidigital number, since it uses as much as digits as its factorization.

10000102200031 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 10.

Adding to 10000102200031 its reverse (13000220100001), we get a palindrome (23000322300032).

The spelling of 10000102200031 in words is "ten trillion, one hundred two million, two hundred thousand, thirty-one".