1010001012021 has 6 divisors (see below), whose sum is σ = 1458890350710. Its totient is φ = 673334008008.

The previous prime is 1010001012011. The next prime is 1010001012049. The reversal of 1010001012021 is 1202101000101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1009193031396 + 807980625 = 1004586^2 + 28425^2 .

It is not a de Polignac number, because 1010001012021 - 2²⁹ = 1009464141109 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: 112222334669 = 1010001012021 / (1 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 1 + 2 + 0 + 2 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 1010001011994 and 1010001012012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001012011) 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, 56111167326 + ... + 56111167343.

It is an arithmetic number, because the mean of its divisors is an integer number (243148391785).

Almost surely, 2^{1010001012021} is an apocalyptic number.

It is an amenable number.

1010001012021 is a deficient number, since it is larger than the sum of its proper divisors (448889338689).

1010001012021 is a wasteful number, since it uses less digits than its factorization.

1010001012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112222334675 (or 112222334672 counting only the distinct ones).

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

Adding to 1010001012021 its reverse (1202101000101), we get a palindrome (2212102012122).

The spelling of 1010001012021 in words is "one trillion, ten billion, one million, twelve thousand, twenty-one".