10202122000117 has 2 divisors, whose sum is σ = 10202122000118. Its totient is φ = 10202122000116.

The previous prime is 10202121999973. The next prime is 10202122000141. The reversal of 10202122000117 is 71100022120201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8663892015601 + 1538229984516 = 2943449^2 + 1240254^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202122000117 - 2³⁵ = 10167762261749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202122000094 and 10202122000103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202122000157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101061000058 + 5101061000059.

It is an arithmetic number, because the mean of its divisors is an integer number (5101061000059).

Almost surely, 2^{10202122000117} is an apocalyptic number.

It is an amenable number.

10202122000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202122000117 is an equidigital number, since it uses as much as digits as its factorization.

10202122000117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 10202122000117 its reverse (71100022120201), we get a palindrome (81302144120318).

The spelling of 10202122000117 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred seventeen", and thus it is an aban number.