2100022122113 has 2 divisors, whose sum is σ = 2100022122114. Its totient is φ = 2100022122112.

The previous prime is 2100022122097. The next prime is 2100022122137. The reversal of 2100022122113 is 3112212200012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2071549946944 + 28472175169 = 1439288^2 + 168737^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100022122113 - 2⁴ = 2100022122097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100022122091 and 2100022122100.

It is not a weakly prime, because it can be changed into another prime (2100022122313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050011061056 + 1050011061057.

It is an arithmetic number, because the mean of its divisors is an integer number (1050011061057).

Almost surely, 2^{2100022122113} is an apocalyptic number.

It is an amenable number.

2100022122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100022122113 is an equidigital number, since it uses as much as digits as its factorization.

2100022122113 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 17.

Adding to 2100022122113 its reverse (3112212200012), we get a palindrome (5212234322125).

The spelling of 2100022122113 in words is "two trillion, one hundred billion, twenty-two million, one hundred twenty-two thousand, one hundred thirteen".