11122102300100 has 72 divisors (see below), whose sum is σ = 26341421853600. Its totient is φ = 4042500313600.

The previous prime is 11122102300097. The next prime is 11122102300103. The reversal of 11122102300100 is 100320122111.

11122102300100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11122102300097) and next prime (11122102300103).

It is not an unprimeable number, because it can be changed into a prime (11122102300103) 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, 32690 + ... + 4716489.

It is an arithmetic number, because the mean of its divisors is an integer number (365853081300).

Almost surely, 2^{11122102300100} is an apocalyptic number.

11122102300100 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 11122102300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13170710926800).

11122102300100 is an abundant number, since it is smaller than the sum of its proper divisors (15219319553500).

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

11122102300100 is a wasteful number, since it uses less digits than its factorization.

11122102300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751333 (or 4751326 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11122102300100 its reverse (100320122111), we get a palindrome (11222422422211).

The spelling of 11122102300100 in words is "eleven trillion, one hundred twenty-two billion, one hundred two million, three hundred thousand, one hundred".