10205022031 has 2 divisors, whose sum is σ = 10205022032. Its totient is φ = 10205022030.

The previous prime is 10205022013. The next prime is 10205022067. The reversal of 10205022031 is 13022050201.

Together with previous prime (10205022013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10205022031 is a prime.

It is a super-2 number, since 2×10205022031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10205021996 and 10205022014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10205022001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5102511015 + 5102511016.

It is an arithmetic number, because the mean of its divisors is an integer number (5102511016).

Almost surely, 2^10205022031 is an apocalyptic number.

10205022031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10205022031 is an equidigital number, since it uses as much as digits as its factorization.

10205022031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 10205022031 its reverse (13022050201), we get a palindrome (23227072232).

The spelling of 10205022031 in words is "ten billion, two hundred five million, twenty-two thousand, thirty-one".