100220212112113 has 2 divisors, whose sum is σ = 100220212112114. Its totient is φ = 100220212112112.

The previous prime is 100220212112107. The next prime is 100220212112149. The reversal of 100220212112113 is 311211212022001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56363937638464 + 43856274473649 = 7507592^2 + 6622407^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100220212112113 is a prime.

It is a super-3 number, since 3×100220212112113³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100220212112173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110106056056 + 50110106056057.

It is an arithmetic number, because the mean of its divisors is an integer number (50110106056057).

Almost surely, 2^{100220212112113} is an apocalyptic number.

It is an amenable number.

100220212112113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220212112113 is an equidigital number, since it uses as much as digits as its factorization.

100220212112113 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 19.

Adding to 100220212112113 its reverse (311211212022001), we get a palindrome (411431424134114).

The spelling of 100220212112113 in words is "one hundred trillion, two hundred twenty billion, two hundred twelve million, one hundred twelve thousand, one hundred thirteen".