221121011020001 has 2 divisors, whose sum is σ = 221121011020002. Its totient is φ = 221121011020000.

The previous prime is 221121011019877. The next prime is 221121011020009. The reversal of 221121011020001 is 100020110121122.

221121011020001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143195901669601 + 77925109350400 = 11966449^2 + 8827520^2 .

It is a cyclic number.

It is not a de Polignac number, because 221121011020001 - 2³⁴ = 221103831150817 is a prime.

It is not a weakly prime, because it can be changed into another prime (221121011020009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110560505510000 + 110560505510001.

It is an arithmetic number, because the mean of its divisors is an integer number (110560505510001).

Almost surely, 2^{221121011020001} is an apocalyptic number.

It is an amenable number.

221121011020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221121011020001 is an equidigital number, since it uses as much as digits as its factorization.

221121011020001 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 221121011020001 its reverse (100020110121122), we get a palindrome (321141121141123).

The spelling of 221121011020001 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, eleven million, twenty thousand, one".