1001133212021 has 2 divisors, whose sum is σ = 1001133212022. Its totient is φ = 1001133212020.

The previous prime is 1001133211999. The next prime is 1001133212029. The reversal of 1001133212021 is 1202123311001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 597082289521 + 404050922500 = 772711^2 + 635650^2 .

It is an emirp because it is prime and its reverse (1202123311001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001133212021 - 2⁶ = 1001133211957 is a prime.

It is a super-2 number, since 2×1001133212021² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001133212029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500566606010 + 500566606011.

It is an arithmetic number, because the mean of its divisors is an integer number (500566606011).

Almost surely, 2^{1001133212021} is an apocalyptic number.

It is an amenable number.

1001133212021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001133212021 is an equidigital number, since it uses as much as digits as its factorization.

1001133212021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1001133212021 its reverse (1202123311001), we get a palindrome (2203256523022).

The spelling of 1001133212021 in words is "one trillion, one billion, one hundred thirty-three million, two hundred twelve thousand, twenty-one".