21240414420101 has 2 divisors, whose sum is σ = 21240414420102. Its totient is φ = 21240414420100.

The previous prime is 21240414420091. The next prime is 21240414420109. The reversal of 21240414420101 is 10102441404212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12523459322500 + 8716955097601 = 3538850^2 + 2952449^2 .

It is a cyclic number.

It is not a de Polignac number, because 21240414420101 - 2¹⁴ = 21240414403717 is a prime.

It is a super-2 number, since 2×21240414420101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21240414420109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10620207210050 + 10620207210051.

It is an arithmetic number, because the mean of its divisors is an integer number (10620207210051).

Almost surely, 2^{21240414420101} is an apocalyptic number.

It is an amenable number.

21240414420101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21240414420101 is an equidigital number, since it uses as much as digits as its factorization.

21240414420101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 21240414420101 its reverse (10102441404212), we get a palindrome (31342855824313).

The spelling of 21240414420101 in words is "twenty-one trillion, two hundred forty billion, four hundred fourteen million, four hundred twenty thousand, one hundred one".