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11121122021100 = 2235272131718118913
BaseRepresentation
bin1010000111010101011010…
…0001110000111011101100
31110101011120010002212101220
42201311112201300323230
52424202024214133400
635352550052503340
72225321525316300
oct241652641607354
943334503085356
1011121122021100
1135a84944aa0a3
1212b742131ab50
13628942bcc420
142a639d90dd00
15144444de57a0
hexa1d56870eec

11121122021100 has 864 divisors, whose sum is σ = 42919029631296. Its totient is φ = 2196091699200.

The previous prime is 11121122021081. The next prime is 11121122021101. The reversal of 11121122021100 is 112022112111.

It is a happy number.

11121122021100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11121122021100.

It is not an unprimeable number, because it can be changed into a prime (11121122021101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 588005244 + ... + 588024156.

It is an arithmetic number, because the mean of its divisors is an integer number (49674802814).

Almost surely, 211121122021100 is an apocalyptic number.

11121122021100 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 11121122021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21459514815648).

11121122021100 is an abundant number, since it is smaller than the sum of its proper divisors (31797907610196).

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

11121122021100 is a wasteful number, since it uses less digits than its factorization.

11121122021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19155 (or 19141 counting only the distinct ones).

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

Adding to 11121122021100 its reverse (112022112111), we get a palindrome (11233144133211).

The spelling of 11121122021100 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-two million, twenty-one thousand, one hundred".