221100101121001 has 8 divisors (see below), whose sum is σ = 223337204445600. Its totient is φ = 218866159782528.

The previous prime is 221100101120957. The next prime is 221100101121007. The reversal of 221100101121001 is 100121101001122.

It is a happy number.

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 221100101121001 - 2⁹ = 221100101120489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221100101121007) 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, 790355976 + ... + 790635673.

It is an arithmetic number, because the mean of its divisors is an integer number (27917150555700).

Almost surely, 2^{221100101121001} is an apocalyptic number.

It is an amenable number.

221100101121001 is a deficient number, since it is larger than the sum of its proper divisors (2237103324599).

221100101121001 is a wasteful number, since it uses less digits than its factorization.

221100101121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580993063.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 221100101121001 its reverse (100121101001122), we get a palindrome (321221202122123).

The spelling of 221100101121001 in words is "two hundred twenty-one trillion, one hundred billion, one hundred one million, one hundred twenty-one thousand, one".