10002011001021 has 24 divisors (see below), whose sum is σ = 15639298756536. Its totient is φ = 6123192053760.

The previous prime is 10002011001011. The next prime is 10002011001023. The reversal of 10002011001021 is 12010011020001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 187888438521 + 9814122562500 = 433461^2 + 3132750^2 .

It is not a de Polignac number, because 10002011001021 - 2⁷ = 10002011000893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10002011000994 and 10002011001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002011001023) 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 23 ways as a sum of consecutive naturals, for example, 221447040 + ... + 221492201.

It is an arithmetic number, because the mean of its divisors is an integer number (651637448189).

Almost surely, 2^{10002011001021} is an apocalyptic number.

It is an amenable number.

10002011001021 is a deficient number, since it is larger than the sum of its proper divisors (5637287755515).

10002011001021 is a wasteful number, since it uses less digits than its factorization.

10002011001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442939453 (or 442939450 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10002011001021 its reverse (12010011020001), we get a palindrome (22012022021022).

The spelling of 10002011001021 in words is "ten trillion, two billion, eleven million, one thousand, twenty-one".