102111101222213 has 2 divisors, whose sum is σ = 102111101222214. Its totient is φ = 102111101222212.

The previous prime is 102111101222183. The next prime is 102111101222257. The reversal of 102111101222213 is 312222101111201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92218050738529 + 9893050483684 = 9603023^2 + 3145322^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111101222213 - 2¹⁴ = 102111101205829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102111101222293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055550611106 + 51055550611107.

It is an arithmetic number, because the mean of its divisors is an integer number (51055550611107).

Almost surely, 2^{102111101222213} is an apocalyptic number.

It is an amenable number.

102111101222213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111101222213 is an equidigital number, since it uses as much as digits as its factorization.

102111101222213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 102111101222213 its reverse (312222101111201), we get a palindrome (414333202333414).

The spelling of 102111101222213 in words is "one hundred two trillion, one hundred eleven billion, one hundred one million, two hundred twenty-two thousand, two hundred thirteen".