1000220012101 has 2 divisors, whose sum is σ = 1000220012102. Its totient is φ = 1000220012100.

The previous prime is 1000220012039. The next prime is 1000220012107. The reversal of 1000220012101 is 1012100220001.

It is a Cunningham number, because it is equal to 1000110²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000220012100 + 1 = 1000110^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000220012101 - 2¹⁷ = 1000219881029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000220012107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500110006050 + 500110006051.

It is an arithmetic number, because the mean of its divisors is an integer number (500110006051).

Almost surely, 2^{1000220012101} is an apocalyptic number.

It is an amenable number.

1000220012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000220012101 is an equidigital number, since it uses as much as digits as its factorization.

1000220012101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000220012101 its reverse (1012100220001), we get a palindrome (2012320232102).

The spelling of 1000220012101 in words is "one trillion, two hundred twenty million, twelve thousand, one hundred one".