1012100222101 has 2 divisors, whose sum is σ = 1012100222102. Its totient is φ = 1012100222100.

The previous prime is 1012100222099. The next prime is 1012100222129. The reversal of 1012100222101 is 1012220012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 992761147876 + 19339074225 = 996374^2 + 139065^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012100222101 - 2¹ = 1012100222099 is a prime.

Together with 1012100222099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012100222501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506050111050 + 506050111051.

It is an arithmetic number, because the mean of its divisors is an integer number (506050111051).

Almost surely, 2^{1012100222101} is an apocalyptic number.

It is an amenable number.

1012100222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012100222101 is an equidigital number, since it uses as much as digits as its factorization.

1012100222101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012100222101 its reverse (1012220012101), we get a palindrome (2024320234202).

The spelling of 1012100222101 in words is "one trillion, twelve billion, one hundred million, two hundred twenty-two thousand, one hundred one".