102121111112201 has 2 divisors, whose sum is σ = 102121111112202. Its totient is φ = 102121111112200.

The previous prime is 102121111112159. The next prime is 102121111112213. The reversal of 102121111112201 is 102211111121201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102011999809801 + 109111302400 = 10100099^2 + 330320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102121111112201 is a prime.

It is a super-2 number, since 2×102121111112201² (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 102121111112201.

It is not a weakly prime, because it can be changed into another prime (102121111112291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060555556100 + 51060555556101.

It is an arithmetic number, because the mean of its divisors is an integer number (51060555556101).

Almost surely, 2^{102121111112201} is an apocalyptic number.

It is an amenable number.

102121111112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121111112201 is an equidigital number, since it uses as much as digits as its factorization.

102121111112201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 102121111112201 its reverse (102211111121201), we get a palindrome (204332222233402).

The spelling of 102121111112201 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, two hundred one".