11111021102100 has 144 divisors (see below), whose sum is σ = 33170362460928. Its totient is φ = 2870001500160.

The previous prime is 11111021102029. The next prime is 11111021102101. The reversal of 11111021102100 is 120112011111.

It is a super-2 number, since 2×11111021102100² (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 not an unprimeable number, because it can be changed into a prime (11111021102101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2694237 + ... + 5429636.

It is an arithmetic number, because the mean of its divisors is an integer number (230349739312).

Almost surely, 2^{11111021102100} is an apocalyptic number.

11111021102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111021102100 is an abundant number, since it is smaller than the sum of its proper divisors (22059341358828).

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

11111021102100 is a wasteful number, since it uses less digits than its factorization.

11111021102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124034 (or 8124027 counting only the distinct ones).

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

Adding to 11111021102100 its reverse (120112011111), we get a palindrome (11231133113211).

The spelling of 11111021102100 in words is "eleven trillion, one hundred eleven billion, twenty-one million, one hundred two thousand, one hundred".