221010010112001 has 32 divisors (see below), whose sum is σ = 329224531332096. Its totient is φ = 130751390840000.

The previous prime is 221010010111949. The next prime is 221010010112039. The reversal of 221010010112001 is 100211010010122.

It is a cyclic number.

It is not a de Polignac number, because 221010010112001 - 2⁷ = 221010010111873 is a prime.

It is a super-3 number, since 3×221010010112001³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (221010010112041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466732611 + ... + 467205896.

It is an arithmetic number, because the mean of its divisors is an integer number (10288266604128).

Almost surely, 2^{221010010112001} is an apocalyptic number.

It is an amenable number.

221010010112001 is a deficient number, since it is larger than the sum of its proper divisors (108214521220095).

221010010112001 is a wasteful number, since it uses less digits than its factorization.

221010010112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933938693.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221010010112001 its reverse (100211010010122), we get a palindrome (321221020122123).

The spelling of 221010010112001 in words is "two hundred twenty-one trillion, ten billion, ten million, one hundred twelve thousand, one".