21127141410401 has 8 divisors (see below), whose sum is σ = 23307240430824. Its totient is φ = 19026318718080.

The previous prime is 21127141410383. The next prime is 21127141410407. The reversal of 21127141410401 is 10401414172112.

It can be written as a sum of positive squares in 4 ways, for example, as 780510406225 + 20346631004176 = 883465^2 + 4510724^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21127141410401 - 2³⁸ = 20852263503457 is a prime.

It is a super-2 number, since 2×21127141410401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21127141410407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19819081466 + ... + 19819082531.

It is an arithmetic number, because the mean of its divisors is an integer number (2913405053853).

Almost surely, 2^{21127141410401} is an apocalyptic number.

It is an amenable number.

21127141410401 is a deficient number, since it is larger than the sum of its proper divisors (2180099020423).

21127141410401 is a wasteful number, since it uses less digits than its factorization.

21127141410401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39638164051.

The product of its (nonzero) digits is 1792, while the sum is 29.

Adding to 21127141410401 its reverse (10401414172112), we get a palindrome (31528555582513).

The spelling of 21127141410401 in words is "twenty-one trillion, one hundred twenty-seven billion, one hundred forty-one million, four hundred ten thousand, four hundred one".