221121211101 has 64 divisors (see below), whose sum is σ = 359687546880. Its totient is φ = 118025994240.

The previous prime is 221121211081. The next prime is 221121211117. The reversal of 221121211101 is 101112121122.

It is a happy number.

It is not a de Polignac number, because 221121211101 - 2²¹ = 221119113949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121211141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8689086 + ... + 8714496.

It is an arithmetic number, because the mean of its divisors is an integer number (5620117920).

Almost surely, 2^221121211101 is an apocalyptic number.

221121211101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221121211101 is a deficient number, since it is larger than the sum of its proper divisors (138566335779).

221121211101 is a wasteful number, since it uses less digits than its factorization.

221121211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25746.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221121211101 its reverse (101112121122), we get a palindrome (322233332223).

The spelling of 221121211101 in words is "two hundred twenty-one billion, one hundred twenty-one million, two hundred eleven thousand, one hundred one".