100212120221113 has 2 divisors, whose sum is σ = 100212120221114. Its totient is φ = 100212120221112.

The previous prime is 100212120221077. The next prime is 100212120221117. The reversal of 100212120221113 is 311122021212001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94114988858944 + 6097131362169 = 9701288^2 + 2469237^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212120221113 - 2³⁷ = 100074681267641 is a prime.

It is not a weakly prime, because it can be changed into another prime (100212120221117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106060110556 + 50106060110557.

It is an arithmetic number, because the mean of its divisors is an integer number (50106060110557).

Almost surely, 2^{100212120221113} is an apocalyptic number.

It is an amenable number.

100212120221113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212120221113 is an equidigital number, since it uses as much as digits as its factorization.

100212120221113 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 19.

Adding to 100212120221113 its reverse (311122021212001), we get a palindrome (411334141433114).

The spelling of 100212120221113 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty million, two hundred twenty-one thousand, one hundred thirteen".