12211122010100 has 72 divisors (see below), whose sum is σ = 28661066850360. Its totient is φ = 4489033121280.

The previous prime is 12211122010081. The next prime is 12211122010111. The reversal of 12211122010100 is 101022111221.

It can be written as a sum of positive squares in 12 ways, for example, as 446400369424 + 11764721640676 = 668132^2 + 3429974^2 .

It is a super-2 number, since 2×12211122010100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20211407 + ... + 20806806.

Almost surely, 2^{12211122010100} is an apocalyptic number.

12211122010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211122010100 is an abundant number, since it is smaller than the sum of its proper divisors (16449944840260).

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

12211122010100 is a wasteful number, since it uses less digits than its factorization.

12211122010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41018469 (or 41018462 counting only the distinct ones).

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

Adding to 12211122010100 its reverse (101022111221), we get a palindrome (12312144121321).

The spelling of 12211122010100 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, ten thousand, one hundred".