102201111120701 has 2 divisors, whose sum is σ = 102201111120702. Its totient is φ = 102201111120700.

The previous prime is 102201111120671. The next prime is 102201111120707. The reversal of 102201111120701 is 107021111102201.

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., 90808130248900 + 11392980871801 = 9529330^2 + 3375349^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201111120701 - 2³⁴ = 102183931251517 is a prime.

It is a super-2 number, since 2×102201111120701² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201111120707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100555560350 + 51100555560351.

It is an arithmetic number, because the mean of its divisors is an integer number (51100555560351).

Almost surely, 2^{102201111120701} is an apocalyptic number.

It is an amenable number.

102201111120701 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201111120701 is an equidigital number, since it uses as much as digits as its factorization.

102201111120701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 102201111120701 its reverse (107021111102201), we get a palindrome (209222222222902).

The spelling of 102201111120701 in words is "one hundred two trillion, two hundred one billion, one hundred eleven million, one hundred twenty thousand, seven hundred one".