21144100024001 has 2 divisors, whose sum is σ = 21144100024002. Its totient is φ = 21144100024000.

The previous prime is 21144100023971. The next prime is 21144100024087. The reversal of 21144100024001 is 10042000144112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16973617209025 + 4170482814976 = 4119905^2 + 2042176^2 .

It is a cyclic number.

It is not a de Polignac number, because 21144100024001 - 2¹⁴ = 21144100007617 is a prime.

It is not a weakly prime, because it can be changed into another prime (21144100024501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10572050012000 + 10572050012001.

It is an arithmetic number, because the mean of its divisors is an integer number (10572050012001).

Almost surely, 2^{21144100024001} is an apocalyptic number.

It is an amenable number.

21144100024001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21144100024001 is an equidigital number, since it uses as much as digits as its factorization.

21144100024001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21144100024001 its reverse (10042000144112), we get a palindrome (31186100168113).

The spelling of 21144100024001 in words is "twenty-one trillion, one hundred forty-four billion, one hundred million, twenty-four thousand, one".