221201112320001 has 144 divisors (see below), whose sum is σ = 370735860418560. Its totient is φ = 126748232582400.

The previous prime is 221201112319981. The next prime is 221201112320009. The reversal of 221201112320001 is 100023211102122.

221201112320001 is a `hidden beast` number, since 221 + 201 + 11 + 232 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 221201112320001 - 2²⁹ = 221200575449089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221201112320009) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 750937135 + ... + 751231643.

It is an arithmetic number, because the mean of its divisors is an integer number (2574554586240).

Almost surely, 2^{221201112320001} is an apocalyptic number.

It is an amenable number.

221201112320001 is a deficient number, since it is larger than the sum of its proper divisors (149534748098559).

221201112320001 is a wasteful number, since it uses less digits than its factorization.

221201112320001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294908 (or 294894 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221201112320001 its reverse (100023211102122), we get a palindrome (321224323422123).

The spelling of 221201112320001 in words is "two hundred twenty-one trillion, two hundred one billion, one hundred twelve million, three hundred twenty thousand, one".