1010002001021 has 8 divisors (see below), whose sum is σ = 1151676490104. Its totient is φ = 877467801600.

The previous prime is 1010002000991. The next prime is 1010002001039. The reversal of 1010002001021 is 1201002000101.

It can be written as a sum of positive squares in 4 ways, for example, as 428769588025 + 581232412996 = 654805^2 + 762386^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1010002001021 - 2¹⁴ = 1010001984637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010002001081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2285072180 + ... + 2285072621.

It is an arithmetic number, because the mean of its divisors is an integer number (143959561263).

Almost surely, 2^{1010002001021} is an apocalyptic number.

It is an amenable number.

1010002001021 is a deficient number, since it is larger than the sum of its proper divisors (141674489083).

1010002001021 is a wasteful number, since it uses less digits than its factorization.

1010002001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570144831.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010002001021 its reverse (1201002000101), we get a palindrome (2211004001122).

The spelling of 1010002001021 in words is "one trillion, ten billion, two million, one thousand, twenty-one".