100102202020031 has 2 divisors, whose sum is σ = 100102202020032. Its totient is φ = 100102202020030.

The previous prime is 100102202019979. The next prime is 100102202020061. The reversal of 100102202020031 is 130020202201001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102202020031 is a prime.

It is a super-2 number, since 2×100102202020031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100102202019988 and 100102202020015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102202020061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051101010015 + 50051101010016.

It is an arithmetic number, because the mean of its divisors is an integer number (50051101010016).

Almost surely, 2^{100102202020031} is an apocalyptic number.

100102202020031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102202020031 is an equidigital number, since it uses as much as digits as its factorization.

100102202020031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100102202020031 its reverse (130020202201001), we get a palindrome (230122404221032).

The spelling of 100102202020031 in words is "one hundred trillion, one hundred two billion, two hundred two million, twenty thousand, thirty-one".