221302042042401 has 96 divisors (see below), whose sum is σ = 335661848121600. Its totient is φ = 140233255810560.

The previous prime is 221302042042397. The next prime is 221302042042409. The reversal of 221302042042401 is 104240240203122.

It is a happy number.

221302042042401 is a `hidden beast` number, since 2 + 2 + 1 + 30 + 20 + 4 + 204 + 2 + 401 = 666.

It is not a de Polignac number, because 221302042042401 - 2² = 221302042042397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221302042042409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24510134155 + ... + 24510143183.

It is an arithmetic number, because the mean of its divisors is an integer number (3496477584600).

Almost surely, 2^{221302042042401} is an apocalyptic number.

It is an amenable number.

221302042042401 is a deficient number, since it is larger than the sum of its proper divisors (114359806079199).

221302042042401 is a wasteful number, since it uses less digits than its factorization.

221302042042401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10551 (or 10548 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 221302042042401 its reverse (104240240203122), we get a palindrome (325542282245523).

The spelling of 221302042042401 in words is "two hundred twenty-one trillion, three hundred two billion, forty-two million, forty-two thousand, four hundred one".