100221011122011 has 32 divisors (see below), whose sum is σ = 144004574280000. Its totient is φ = 61632696503808.

The previous prime is 100221011122009. The next prime is 100221011122033. The reversal of 100221011122011 is 110221110122001.

It is a happy number.

It is not a de Polignac number, because 100221011122011 - 2¹ = 100221011122009 is a prime.

It is a super-2 number, since 2×100221011122011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100221011122091) 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, 946956045 + ... + 947061873.

It is an arithmetic number, because the mean of its divisors is an integer number (4500142946250).

Almost surely, 2^{100221011122011} is an apocalyptic number.

100221011122011 is a deficient number, since it is larger than the sum of its proper divisors (43783563157989).

100221011122011 is a wasteful number, since it uses less digits than its factorization.

100221011122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122063.

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

Adding to 100221011122011 its reverse (110221110122001), we get a palindrome (210442121244012).

The spelling of 100221011122011 in words is "one hundred trillion, two hundred twenty-one billion, eleven million, one hundred twenty-two thousand, eleven".