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1021110112200 = 233523748319521
BaseRepresentation
bin11101101101111101110…
…01111100111111001000
310121121122220211020101110
432312332321330333020
5113212213142042300
62101031433250320
7133526026513443
oct16667671747710
93547586736343
101021110112200
11364061046712
12145a938639a0
13753a0954aa9
14375c9d4065a
151b864bb4550
hexedbee7cfc8

1021110112200 has 192 divisors, whose sum is σ = 3252008286720. Its totient is φ = 264854016000.

The previous prime is 1021110112193. The next prime is 1021110112207. The reversal of 1021110112200 is 22110111201.

It is an interprime number because it is at equal distance from previous prime (1021110112193) and next prime (1021110112207).

It is a super-2 number, since 2×10211101122002 (a number of 25 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 (1021110112207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107243440 + ... + 107252960.

It is an arithmetic number, because the mean of its divisors is an integer number (16937543160).

Almost surely, 21021110112200 is an apocalyptic number.

1021110112200 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 1021110112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626004143360).

1021110112200 is an abundant number, since it is smaller than the sum of its proper divisors (2230898174520).

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

1021110112200 is a wasteful number, since it uses less digits than its factorization.

1021110112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14408 (or 14399 counting only the distinct ones).

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

Adding to 1021110112200 its reverse (22110111201), we get a palindrome (1043220223401).

Subtracting from 1021110112200 its reverse (22110111201), we obtain a palindrome (999000000999).

The spelling of 1021110112200 in words is "one trillion, twenty-one billion, one hundred ten million, one hundred twelve thousand, two hundred".