1000100022113 has 2 divisors, whose sum is σ = 1000100022114. Its totient is φ = 1000100022112.

The previous prime is 1000100022101. The next prime is 1000100022121. The reversal of 1000100022113 is 3112200010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 607537625809 + 392562396304 = 779447^2 + 626548^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000100022113 - 2²⁰ = 1000098973537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000100022094 and 1000100022103.

It is not a weakly prime, because it can be changed into another prime (1000100022133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050011056 + 500050011057.

It is an arithmetic number, because the mean of its divisors is an integer number (500050011057).

Almost surely, 2^{1000100022113} is an apocalyptic number.

It is an amenable number.

1000100022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100022113 is an equidigital number, since it uses as much as digits as its factorization.

1000100022113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1000100022113 its reverse (3112200010001), we get a palindrome (4112300032114).

The spelling of 1000100022113 in words is "one trillion, one hundred million, twenty-two thousand, one hundred thirteen".