21201022011401 has 2 divisors, whose sum is σ = 21201022011402. Its totient is φ = 21201022011400.

The previous prime is 21201022011373. The next prime is 21201022011461. The reversal of 21201022011401 is 10411022010212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19315277857225 + 1885744154176 = 4394915^2 + 1373224^2 .

It is a cyclic number.

It is not a de Polignac number, because 21201022011401 - 2³⁸ = 20926144104457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21201022011401.

It is not a weakly prime, because it can be changed into another prime (21201022011461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600511005700 + 10600511005701.

It is an arithmetic number, because the mean of its divisors is an integer number (10600511005701).

Almost surely, 2^{21201022011401} is an apocalyptic number.

It is an amenable number.

21201022011401 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201022011401 is an equidigital number, since it uses as much as digits as its factorization.

21201022011401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21201022011401 its reverse (10411022010212), we get a palindrome (31612044021613).

The spelling of 21201022011401 in words is "twenty-one trillion, two hundred one billion, twenty-two million, eleven thousand, four hundred one".