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211012112121100 = 225215113974312061
BaseRepresentation
bin101111111110101000010101…
…111111000111110100001100
31000200010120010220101020110121
4233332220111333013310030
5210124210301200333400
62024441343121514324
762306056564032433
oct5776502577076414
91020116126336417
10211012112121100
11612648092440a4
121b7bb6894a29a4
139098483b433a4
143a1707da4211a
15195dd98c6521a
hexbfea15fc7d0c

211012112121100 has 36 divisors (see below), whose sum is σ = 460928709053008. Its totient is φ = 83845872360000.

The previous prime is 211012112121067. The next prime is 211012112121101. The reversal of 211012112121100 is 1121211210112.

It is a super-2 number, since 2×2110121121211002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211012112121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6987140931 + ... + 6987171130.

Almost surely, 2211012112121100 is an apocalyptic number.

211012112121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012112121100 is an abundant number, since it is smaller than the sum of its proper divisors (249916596931908).

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

211012112121100 is a wasteful number, since it uses less digits than its factorization.

211012112121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13974312226 (or 13974312219 counting only the distinct ones).

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

Adding to 211012112121100 its reverse (1121211210112), we get a palindrome (212133323331212).

The spelling of 211012112121100 in words is "two hundred eleven trillion, twelve billion, one hundred twelve million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 755 1510 3020 3775 7550 15100 13974312061 27948624122 55897248244 69871560305 139743120610 279486241220 349357801525 698715603050 1397431206100 2110121121211 4220242242422 8440484484844 10550605606055 21101211212110 42202422424220 52753028030275 105506056060550 211012112121100