2101210022113 has 2 divisors, whose sum is σ = 2101210022114. Its totient is φ = 2101210022112.

The previous prime is 2101210022101. The next prime is 2101210022189. The reversal of 2101210022113 is 3112200121012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2100609625104 + 600397009 = 1449348^2 + 24503^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101210022113 - 2⁵ = 2101210022081 is a prime.

It is a super-2 number, since 2×2101210022113² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2101210022713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050605011056 + 1050605011057.

It is an arithmetic number, because the mean of its divisors is an integer number (1050605011057).

Almost surely, 2^{2101210022113} is an apocalyptic number.

It is an amenable number.

2101210022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101210022113 is an equidigital number, since it uses as much as digits as its factorization.

2101210022113 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 16.

Adding to 2101210022113 its reverse (3112200121012), we get a palindrome (5213410143125).

The spelling of 2101210022113 in words is "two trillion, one hundred one billion, two hundred ten million, twenty-two thousand, one hundred thirteen".