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11212100201100 = 223521926321613461
BaseRepresentation
bin1010001100101000010100…
…1111111110101010001100
31110200212101112121021020010
42203022011033332222030
52432144340122413400
635502433454553220
72235022203144501
oct243120517765214
943625345537203
1011212100201100
1136330302a0307
121310b91808810
136343b158bc26
142aa9506b94a8
151469bc093450
hexa32853fea8c

11212100201100 has 288 divisors, whose sum is σ = 34303339445760. Its totient is φ = 2819639808000.

The previous prime is 11212100201077. The next prime is 11212100201101. The reversal of 11212100201100 is 110200121211.

11212100201100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112121002011002 (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 not an unprimeable number, because it can be changed into a prime (11212100201101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3239553370 + ... + 3239556830.

It is an arithmetic number, because the mean of its divisors is an integer number (119108817520).

Almost surely, 211212100201100 is an apocalyptic number.

11212100201100 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 11212100201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17151669722880).

11212100201100 is an abundant number, since it is smaller than the sum of its proper divisors (23091239244660).

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

11212100201100 is a wasteful number, since it uses less digits than its factorization.

11212100201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5921 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11212100201100 its reverse (110200121211), we get a palindrome (11322300322311).

The spelling of 11212100201100 in words is "eleven trillion, two hundred twelve billion, one hundred million, two hundred one thousand, one hundred".