11111211100100 has 72 divisors (see below), whose sum is σ = 24142172802048. Its totient is φ = 4438800620800.

The previous prime is 11111211100079. The next prime is 11111211100109. The reversal of 11111211100100 is 100111211111.

It is a happy number.

It is a super-2 number, since 2×11111211100100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11111211100109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953173472 + ... + 953185128.

It is an arithmetic number, because the mean of its divisors is an integer number (335307955584).

Almost surely, 2^{11111211100100} is an apocalyptic number.

11111211100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111211100100 is an abundant number, since it is smaller than the sum of its proper divisors (13030961701948).

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

11111211100100 is a wasteful number, since it uses less digits than its factorization.

11111211100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23045 (or 23038 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11111211100100 its reverse (100111211111), we get a palindrome (11211322311211).

The spelling of 11111211100100 in words is "eleven trillion, one hundred eleven billion, two hundred eleven million, one hundred thousand, one hundred".