102211021002113 has 2 divisors, whose sum is σ = 102211021002114. Its totient is φ = 102211021002112.

The previous prime is 102211021002067. The next prime is 102211021002131. The reversal of 102211021002113 is 311200120112201.

It is a happy number.

Together with next prime (102211021002131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91658086835329 + 10552934166784 = 9573823^2 + 3248528^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211021002113 - 2¹⁴ = 102211020985729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102211021002091 and 102211021002100.

It is not a weakly prime, because it can be changed into another prime (102211021002163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105510501056 + 51105510501057.

It is an arithmetic number, because the mean of its divisors is an integer number (51105510501057).

Almost surely, 2^{102211021002113} is an apocalyptic number.

It is an amenable number.

102211021002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211021002113 is an equidigital number, since it uses as much as digits as its factorization.

102211021002113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 102211021002113 its reverse (311200120112201), we get a palindrome (413411141114314).

The spelling of 102211021002113 in words is "one hundred two trillion, two hundred eleven billion, twenty-one million, two thousand, one hundred thirteen".