11222122121100 has 432 divisors, whose sum is σ = 39105624579840. Its totient is φ = 2668800960000.

The previous prime is 11222122121099. The next prime is 11222122121113. The reversal of 11222122121100 is 112122122211.

11222122121100 is a `hidden beast` number, since 1 + 12 + 221 + 221 + 211 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 228853585 + ... + 228902615.

It is an arithmetic number, because the mean of its divisors is an integer number (90522279120).

Almost surely, 2^{11222122121100} is an apocalyptic number.

11222122121100 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 11222122121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19552812289920).

11222122121100 is an abundant number, since it is smaller than the sum of its proper divisors (27883502458740).

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

11222122121100 is a wasteful number, since it uses less digits than its factorization.

11222122121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49502 (or 49492 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11222122121100 its reverse (112122122211), we get a palindrome (11334244243311).

The spelling of 11222122121100 in words is "eleven trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred".