10001122121021 has 2 divisors, whose sum is σ = 10001122121022. Its totient is φ = 10001122121020.

The previous prime is 10001122121017. The next prime is 10001122121113. The reversal of 10001122121021 is 12012122110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7618069207225 + 2383052913796 = 2760085^2 + 1543714^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001122121021 - 2² = 10001122121017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001122120987 and 10001122121005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001122121621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000561060510 + 5000561060511.

It is an arithmetic number, because the mean of its divisors is an integer number (5000561060511).

Almost surely, 2^{10001122121021} is an apocalyptic number.

It is an amenable number.

10001122121021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001122121021 is an equidigital number, since it uses as much as digits as its factorization.

10001122121021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10001122121021 its reverse (12012122110001), we get a palindrome (22013244231022).

The spelling of 10001122121021 in words is "ten trillion, one billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty-one".