10100010001021 has 2 divisors, whose sum is σ = 10100010001022. Its totient is φ = 10100010001020.

The previous prime is 10100010001013. The next prime is 10100010001157. The reversal of 10100010001021 is 12010001000101.

10100010001021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8278360401796 + 1821649599225 = 2877214^2 + 1349685^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100010001021 - 2³ = 10100010001013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100010000995 and 10100010001013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100010001321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005000510 + 5050005000511.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005000511).

Almost surely, 2^{10100010001021} is an apocalyptic number.

It is an amenable number.

10100010001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010001021 is an equidigital number, since it uses as much as digits as its factorization.

10100010001021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100010001021 its reverse (12010001000101), we get a palindrome (22110011001122).

The spelling of 10100010001021 in words is "ten trillion, one hundred billion, ten million, one thousand, twenty-one".