11211122210100 has 144 divisors (see below), whose sum is σ = 32786894754432. Its totient is φ = 2957492643840.

The previous prime is 11211122210077. The next prime is 11211122210111. The reversal of 11211122210100 is 101222111211.

It is a happy number.

11211122210100 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 2×11211122210100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11211122210100.

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, 29257344 + ... + 29638056.

It is an arithmetic number, because the mean of its divisors is an integer number (227686769128).

Almost surely, 2^{11211122210100} is an apocalyptic number.

11211122210100 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 11211122210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16393447377216).

11211122210100 is an abundant number, since it is smaller than the sum of its proper divisors (21575772544332).

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

11211122210100 is a wasteful number, since it uses less digits than its factorization.

11211122210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381786 (or 381779 counting only the distinct ones).

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

Adding to 11211122210100 its reverse (101222111211), we get a palindrome (11312344321311).

The spelling of 11211122210100 in words is "eleven trillion, two hundred eleven billion, one hundred twenty-two million, two hundred ten thousand, one hundred".