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121012100001 = 32132707911239
BaseRepresentation
bin111000010110011100…
…0100001101110100001
3102120100112121121200200
41300230320201232201
53440313044200001
6131331525135413
711512535610162
oct1605470415641
9376315547620
10121012100001
11473591a2901
121b55285a569
13b546a9cc00
145bdd923769
153233c77086
hex1c2ce21ba1

121012100001 has 36 divisors (see below), whose sum is σ = 189318916800. Its totient is φ = 74451839904.

The previous prime is 121012099993. The next prime is 121012100017. The reversal of 121012100001 is 100001210121.

It is a happy number.

It is not a de Polignac number, because 121012100001 - 23 = 121012099993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (121012100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10761540 + ... + 10772778.

It is an arithmetic number, because the mean of its divisors is an integer number (5258858800).

Almost surely, 2121012100001 is an apocalyptic number.

It is an amenable number.

121012100001 is a deficient number, since it is larger than the sum of its proper divisors (68306816799).

121012100001 is a wasteful number, since it uses less digits than its factorization.

121012100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18350 (or 18334 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121012100001 its reverse (100001210121), we get a palindrome (221013310122).

The spelling of 121012100001 in words is "one hundred twenty-one billion, twelve million, one hundred thousand, one".

Divisors: 1 3 9 13 39 117 169 507 1521 7079 11239 21237 33717 63711 92027 101151 146107 276081 438321 828243 1196351 1314963 1899391 3589053 5698173 10767159 17094519 79560881 238682643 716047929 1034291453 3102874359 9308623077 13445788889 40337366667 121012100001