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1100212121112 = 2331325713721093
BaseRepresentation
bin10000000000101001110…
…000001010111000011000
310220011211200012122012020
4100000221300022320120
5121011213300333422
62201232552014440
7142326165504306
oct20005160127030
93804750178166
101100212121112
113946630727a5
1215928a991420
137c998a17720
143b371723276
151d94440195c
hex10029c0ae18

1100212121112 has 64 divisors (see below), whose sum is σ = 2973635491680. Its totient is φ = 337209556992.

The previous prime is 1100212121101. The next prime is 1100212121117. The reversal of 1100212121112 is 2111212120011.

It is a happy number.

It is a super-2 number, since 2×11002121211122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100212121091 and 1100212121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100212121117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6780363 + ... + 6940730.

Almost surely, 21100212121112 is an apocalyptic number.

1100212121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100212121112 is an abundant number, since it is smaller than the sum of its proper divisors (1873423370568).

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

1100212121112 is a wasteful number, since it uses less digits than its factorization.

1100212121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13721372 (or 13721368 counting only the distinct ones).

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

Adding to 1100212121112 its reverse (2111212120011), we get a palindrome (3211424241123).

The spelling of 1100212121112 in words is "one trillion, one hundred billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 257 312 514 771 1028 1542 2056 3084 3341 6168 6682 10023 13364 20046 26728 40092 80184 13721093 27442186 41163279 54884372 82326558 109768744 164653116 178374209 329306232 356748418 535122627 713496836 1070245254 1426993672 2140490508 3526320901 4280981016 7052641802 10578962703 14105283604 21157925406 28210567208 42315850812 45842171713 84631701624 91684343426 137526515139 183368686852 275053030278 366737373704 550106060556 1100212121112