101120100122263 has 2 divisors, whose sum is σ = 101120100122264. Its totient is φ = 101120100122262.

The previous prime is 101120100122159. The next prime is 101120100122281. The reversal of 101120100122263 is 362221001021101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101120100122263 - 2¹⁷ = 101120099991191 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101120100126263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560050061131 + 50560050061132.

It is an arithmetic number, because the mean of its divisors is an integer number (50560050061132).

Almost surely, 2^{101120100122263} is an apocalyptic number.

101120100122263 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120100122263 is an equidigital number, since it uses as much as digits as its factorization.

101120100122263 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 101120100122263 its reverse (362221001021101), we get a palindrome (463341101143364).

The spelling of 101120100122263 in words is "one hundred one trillion, one hundred twenty billion, one hundred million, one hundred twenty-two thousand, two hundred sixty-three".