1000211021021 has 24 divisors (see below), whose sum is σ = 1083236028840. Its totient is φ = 923032461312.

The previous prime is 1000211020997. The next prime is 1000211021041. The reversal of 1000211021021 is 1201201120001.

It can be written as a sum of positive squares in 12 ways, for example, as 2939157796 + 997271863225 = 54214^2 + 998635^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1000211021021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000211020993 and 1000211021011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000211021041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25360565 + ... + 25399973.

It is an arithmetic number, because the mean of its divisors is an integer number (45134834535).

Almost surely, 2^{1000211021021} is an apocalyptic number.

It is an amenable number.

1000211021021 is a deficient number, since it is larger than the sum of its proper divisors (83025007819).

1000211021021 is a wasteful number, since it uses less digits than its factorization.

1000211021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41153 (or 41136 counting only the distinct ones).

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

Adding to 1000211021021 its reverse (1201201120001), we get a palindrome (2201412141022).

The spelling of 1000211021021 in words is "one trillion, two hundred eleven million, twenty-one thousand, twenty-one".