221102001011122 has 256 divisors, whose sum is σ = 464920694784000. Its totient is φ = 76231624089600.

The previous prime is 221102001011117. The next prime is 221102001011131. The reversal of 221102001011122 is 221110100201122.

221102001011122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221102001011122² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221102001011096 and 221102001011105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10861216968 + ... + 10861237324.

It is an arithmetic number, because the mean of its divisors is an integer number (1816096464000).

Almost surely, 2^{221102001011122} is an apocalyptic number.

221102001011122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221102001011122 is an abundant number, since it is smaller than the sum of its proper divisors (243818693772878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221102001011122 is a wasteful number, since it uses less digits than its factorization.

221102001011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24585.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221102001011122 its reverse (221110100201122), we get a palindrome (442212101212244).

The spelling of 221102001011122 in words is "two hundred twenty-one trillion, one hundred two billion, one million, eleven thousand, one hundred twenty-two".