100110022220213 has 2 divisors, whose sum is σ = 100110022220214. Its totient is φ = 100110022220212.

The previous prime is 100110022220093. The next prime is 100110022220249. The reversal of 100110022220213 is 312022220011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99974861580049 + 135160640164 = 9998743^2 + 367642^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110022220213 - 2⁸ = 100110022219957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110022220191 and 100110022220200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110022240213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055011110106 + 50055011110107.

It is an arithmetic number, because the mean of its divisors is an integer number (50055011110107).

Almost surely, 2^{100110022220213} is an apocalyptic number.

It is an amenable number.

100110022220213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110022220213 is an equidigital number, since it uses as much as digits as its factorization.

100110022220213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100110022220213 its reverse (312022220011001), we get a palindrome (412132242231214).

The spelling of 100110022220213 in words is "one hundred trillion, one hundred ten billion, twenty-two million, two hundred twenty thousand, two hundred thirteen".