1001010021 has 16 divisors (see below), whose sum is σ = 1456634880. Its totient is φ = 606414320.

The previous prime is 1001010013. The next prime is 1001010053. The reversal of 1001010021 is 1200101001.

It is a cyclic number.

It is not a de Polignac number, because 1001010021 - 2³ = 1001010013 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001009991 and 1001010009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96820 + ... + 106658.

It is an arithmetic number, because the mean of its divisors is an integer number (91039680).

Almost surely, 2^1001010021 is an apocalyptic number.

1001010021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001010021 is a deficient number, since it is larger than the sum of its proper divisors (455624859).

1001010021 is a wasteful number, since it uses less digits than its factorization.

1001010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12936.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1001010021 is about 31638.7424054750. The cubic root of 1001010021 is about 1000.3365603811.

Adding to 1001010021 its reverse (1200101001), we get a palindrome (2201111022).

The spelling of 1001010021 in words is "one billion, one million, ten thousand, twenty-one".