1000201112021 has 2 divisors, whose sum is σ = 1000201112022. Its totient is φ = 1000201112020.

The previous prime is 1000201111997. The next prime is 1000201112023. The reversal of 1000201112021 is 1202111020001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 817145489521 + 183055622500 = 903961^2 + 427850^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000201112021 - 2¹⁸ = 1000200849877 is a prime.

Together with 1000201112023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000201111993 and 1000201112011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000201112023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500100556010 + 500100556011.

It is an arithmetic number, because the mean of its divisors is an integer number (500100556011).

Almost surely, 2^{1000201112021} is an apocalyptic number.

It is an amenable number.

1000201112021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000201112021 is an equidigital number, since it uses as much as digits as its factorization.

1000201112021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1000201112021 its reverse (1202111020001), we get a palindrome (2202312132022).

The spelling of 1000201112021 in words is "one trillion, two hundred one million, one hundred twelve thousand, twenty-one".