1001022021 has 6 divisors (see below), whose sum is σ = 1445920710. Its totient is φ = 667348008.

The previous prime is 1001022007. The next prime is 1001022047. The reversal of 1001022021 is 1202201001.

1001022021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 735168996 + 265853025 = 27114^2 + 16305^2 .

It is not a de Polignac number, because 1001022021 - 2¹⁰ = 1001020997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111224669 = 1001022021 / (1 + 0 + 0 + 1 + 0 + 2 + 2 + 0 + 2 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 1001021994 and 1001022012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001022091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55612326 + ... + 55612343.

It is an arithmetic number, because the mean of its divisors is an integer number (240986785).

Almost surely, 2^1001022021 is an apocalyptic number.

It is an amenable number.

1001022021 is a deficient number, since it is larger than the sum of its proper divisors (444898689).

1001022021 is a wasteful number, since it uses less digits than its factorization.

1001022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111224675 (or 111224672 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1001022021 is about 31638.9320458198. The cubic root of 1001022021 is about 1000.3405576740.

Adding to 1001022021 its reverse (1202201001), we get a palindrome (2203223022).

It can be divided in two parts, 100 and 1022021, that added together give a square (1022121 = 1011²).

The spelling of 1001022021 in words is "one billion, one million, twenty-two thousand, twenty-one".