221412753412201 has 8 divisors (see below), whose sum is σ = 238444637997384. Its totient is φ = 204380888016000.

The previous prime is 221412753412171. The next prime is 221412753412223. The reversal of 221412753412201 is 102214357214122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76905884160000 + 144506869252201 = 8769600^2 + 12021101^2 .

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 221412753412201 - 2⁷ = 221412753412073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221412753412271) 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, 26947701 + ... + 34190701.

It is an arithmetic number, because the mean of its divisors is an integer number (29805579749673).

Almost surely, 2^{221412753412201} is an apocalyptic number.

It is an amenable number.

221412753412201 is a deficient number, since it is larger than the sum of its proper divisors (17031884585183).

221412753412201 is a wasteful number, since it uses less digits than its factorization.

221412753412201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9594491.

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 221412753412201 in words is "two hundred twenty-one trillion, four hundred twelve billion, seven hundred fifty-three million, four hundred twelve thousand, two hundred one".