110021203100113 has 2 divisors, whose sum is σ = 110021203100114. Its totient is φ = 110021203100112.

The previous prime is 110021203100099. The next prime is 110021203100117. The reversal of 110021203100113 is 311001302120011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59150758048209 + 50870445051904 = 7690953^2 + 7132352^2 .

It is a cyclic number.

It is not a de Polignac number, because 110021203100113 - 2³⁷ = 109883764146641 is a prime.

It is a super-2 number, since 2×110021203100113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110021203100117) 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, 55010601550056 + 55010601550057.

It is an arithmetic number, because the mean of its divisors is an integer number (55010601550057).

Almost surely, 2^{110021203100113} is an apocalyptic number.

It is an amenable number.

110021203100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

110021203100113 is an equidigital number, since it uses as much as digits as its factorization.

110021203100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 110021203100113 its reverse (311001302120011), we get a palindrome (421022505220124).

The spelling of 110021203100113 in words is "one hundred ten trillion, twenty-one billion, two hundred three million, one hundred thousand, one hundred thirteen".