10001122121621 has 2 divisors, whose sum is σ = 10001122121622. Its totient is φ = 10001122121620.

The previous prime is 10001122121603. The next prime is 10001122121629. The reversal of 10001122121621 is 12612122110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6240198845521 + 3760923276100 = 2498039^2 + 1939310^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001122121621 - 2¹⁰ = 10001122120597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001122121593 and 10001122121602.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001122121629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000561060810 + 5000561060811.

It is an arithmetic number, because the mean of its divisors is an integer number (5000561060811).

Almost surely, 2^{10001122121621} is an apocalyptic number.

It is an amenable number.

10001122121621 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001122121621 is an equidigital number, since it uses as much as digits as its factorization.

10001122121621 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 10001122121621 its reverse (12612122110001), we get a palindrome (22613244231622).

The spelling of 10001122121621 in words is "ten trillion, one billion, one hundred twenty-two million, one hundred twenty-one thousand, six hundred twenty-one".