102112211102201 has 2 divisors, whose sum is σ = 102112211102202. Its totient is φ = 102112211102200.

The previous prime is 102112211102191. The next prime is 102112211102339. The reversal of 102112211102201 is 102201112211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95407943754601 + 6704267347600 = 9767699^2 + 2589260^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112211102201 - 2²⁶ = 102112143993337 is a prime.

It is a super-2 number, since 2×102112211102201² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102112211102201.

It is not a weakly prime, because it can be changed into another prime (102112211102101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056105551100 + 51056105551101.

It is an arithmetic number, because the mean of its divisors is an integer number (51056105551101).

Almost surely, 2^{102112211102201} is an apocalyptic number.

It is an amenable number.

102112211102201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112211102201 is an equidigital number, since it uses as much as digits as its factorization.

102112211102201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102112211102201 its reverse (102201112211201), we get a palindrome (204313323313402).

The spelling of 102112211102201 in words is "one hundred two trillion, one hundred twelve billion, two hundred eleven million, one hundred two thousand, two hundred one".