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11121212120100 = 22352412713679091
BaseRepresentation
bin1010000111010101101111…
…1001011101110000100100
31110101011210101122100222220
42201311123321131300210
52424202220300320400
635353003031552340
72225324001203505
oct241653371356044
943334711570886
1011121212120100
1135a8530348885
1212b744752b6b0
13628958787444
142a63ab884bac
1514444cc917a0
hexa1d5be5dc24

11121212120100 has 288 divisors, whose sum is σ = 33177615163392. Its totient is φ = 2874476160000.

The previous prime is 11121212120099. The next prime is 11121212120101. The reversal of 11121212120100 is 102121212111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11121212120099) and next prime (11121212120101).

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 11121212120100.

It is not an unprimeable number, because it can be changed into a prime (11121212120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1223316555 + ... + 1223325645.

Almost surely, 211121212120100 is an apocalyptic number.

11121212120100 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 11121212120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588807581696).

11121212120100 is an abundant number, since it is smaller than the sum of its proper divisors (22056403043292).

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

11121212120100 is a wasteful number, since it uses less digits than its factorization.

11121212120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9787 (or 9780 counting only the distinct ones).

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

Adding to 11121212120100 its reverse (102121212111), we get a palindrome (11223333332211).

The spelling of 11121212120100 in words is "eleven trillion, one hundred twenty-one billion, two hundred twelve million, one hundred twenty thousand, one hundred".