211211112021113 has 2 divisors, whose sum is σ = 211211112021114. Its totient is φ = 211211112021112.

The previous prime is 211211112020999. The next prime is 211211112021121. The reversal of 211211112021113 is 311120211112112.

211211112021113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209868880869904 + 1342231151209 = 14486852^2 + 1158547^2 .

It is a cyclic number.

It is not a de Polignac number, because 211211112021113 - 2³⁴ = 211193932151929 is a prime.

It is a super-2 number, since 2×211211112021113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211211112021163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605556010556 + 105605556010557.

It is an arithmetic number, because the mean of its divisors is an integer number (105605556010557).

Almost surely, 2^{211211112021113} is an apocalyptic number.

It is an amenable number.

211211112021113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211112021113 is an equidigital number, since it uses as much as digits as its factorization.

211211112021113 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 20.

Adding to 211211112021113 its reverse (311120211112112), we get a palindrome (522331323133225).

Subtracting 211211112021113 from its reverse (311120211112112), we obtain a palindrome (99909099090999).

The spelling of 211211112021113 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred twelve million, twenty-one thousand, one hundred thirteen".