221102011012001 has 32 divisors (see below), whose sum is σ = 266595564404736. Its totient is φ = 179398929240000.

The previous prime is 221102011011989. The next prime is 221102011012021. The reversal of 221102011012001 is 100210110201122.

It is a cyclic number.

It is not a de Polignac number, because 221102011012001 - 2³⁴ = 221084831142817 is a prime.

It is a super-2 number, since 2×221102011012001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221102011012021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58952885 + ... + 62591106.

It is an arithmetic number, because the mean of its divisors is an integer number (8331111387648).

Almost surely, 2^{221102011012001} is an apocalyptic number.

It is an amenable number.

221102011012001 is a deficient number, since it is larger than the sum of its proper divisors (45493553392735).

221102011012001 is a wasteful number, since it uses less digits than its factorization.

221102011012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121544213.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221102011012001 its reverse (100210110201122), we get a palindrome (321312121213123).

The spelling of 221102011012001 in words is "two hundred twenty-one trillion, one hundred two billion, eleven million, twelve thousand, one".