10002111001021 has 2 divisors, whose sum is σ = 10002111001022. Its totient is φ = 10002111001020.

The previous prime is 10002111001019. The next prime is 10002111001037. The reversal of 10002111001021 is 12010011120001.

10002111001021 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., 7778018988100 + 2224092012921 = 2788910^2 + 1491339^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002111001021 - 2¹ = 10002111001019 is a prime.

Together with 10002111001019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10002111000989 and 10002111001007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002111001921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001055500510 + 5001055500511.

It is an arithmetic number, because the mean of its divisors is an integer number (5001055500511).

Almost surely, 2^{10002111001021} is an apocalyptic number.

It is an amenable number.

10002111001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002111001021 is an equidigital number, since it uses as much as digits as its factorization.

10002111001021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10002111001021 its reverse (12010011120001), we get a palindrome (22012122121022).

The spelling of 10002111001021 in words is "ten trillion, two billion, one hundred eleven million, one thousand, twenty-one".