12211110110100 has 144 divisors (see below), whose sum is σ = 38551747530240. Its totient is φ = 2959574524800.

The previous prime is 12211110110081. The next prime is 12211110110113. The reversal of 12211110110100 is 101101111221.

12211110110100 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 2×12211110110100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13701921 + ... + 14565879.

It is an arithmetic number, because the mean of its divisors is an integer number (267720468960).

Almost surely, 2^{12211110110100} is an apocalyptic number.

12211110110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211110110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19275873765120).

12211110110100 is an abundant number, since it is smaller than the sum of its proper divisors (26340637420140).

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

12211110110100 is a wasteful number, since it uses less digits than its factorization.

12211110110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868270 (or 868263 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12211110110100 its reverse (101101111221), we get a palindrome (12312211221321).

The spelling of 12211110110100 in words is "twelve trillion, two hundred eleven billion, one hundred ten million, one hundred ten thousand, one hundred".