221011221121101 has 16 divisors (see below), whose sum is σ = 327424899184320. Its totient is φ = 147340423528560.

The previous prime is 221011221121051. The next prime is 221011221121109. The reversal of 221011221121101 is 101121122110122.

It is a happy number.

221011221121101 is a `hidden beast` number, since 2 + 210 + 11 + 221 + 121 + 101 = 666.

It is not a de Polignac number, because 221011221121101 - 2¹⁴ = 221011221104717 is a prime.

It is a super-2 number, since 2×221011221121101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011221121109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286995 + ... + 21026288.

It is an arithmetic number, because the mean of its divisors is an integer number (20464056199020).

Almost surely, 2^{221011221121101} is an apocalyptic number.

It is an amenable number.

221011221121101 is a deficient number, since it is larger than the sum of its proper divisors (106413678063219).

221011221121101 is a wasteful number, since it uses less digits than its factorization.

221011221121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21697353 (or 21697347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221011221121101 its reverse (101121122110122), we get a palindrome (322132343231223).

The spelling of 221011221121101 in words is "two hundred twenty-one trillion, eleven billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred one".