20101102202117 has 2 divisors, whose sum is σ = 20101102202118. Its totient is φ = 20101102202116.

The previous prime is 20101102202033. The next prime is 20101102202143. The reversal of 20101102202117 is 71120220110102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19623491285281 + 477610916836 = 4429841^2 + 691094^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101102202117 - 2⁸ = 20101102201861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20101102202197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050551101058 + 10050551101059.

It is an arithmetic number, because the mean of its divisors is an integer number (10050551101059).

Almost surely, 2^{20101102202117} is an apocalyptic number.

It is an amenable number.

20101102202117 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101102202117 is an equidigital number, since it uses as much as digits as its factorization.

20101102202117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 20101102202117 its reverse (71120220110102), we get a palindrome (91221322312219).

The spelling of 20101102202117 in words is "twenty trillion, one hundred one billion, one hundred two million, two hundred two thousand, one hundred seventeen".