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12020100010101 = 34181819869041
BaseRepresentation
bin1010111011101010010111…
…0010101001000001110101
31120120002222102210102010000
42232322211302221001311
53033414131100310401
641321542511021513
72350265166203031
oct256724562510165
946502872712100
1012020100010101
1139147721019a7
1214216ab20a899
1369264ba127a1
142d7ac12991c1
1515ca0c844186
hexaeea5ca9075

12020100010101 has 20 divisors (see below), whose sum is σ = 18055156042924. Its totient is φ = 7969127068800.

The previous prime is 12020100010063. The next prime is 12020100010133. The reversal of 12020100010101 is 10101000102021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2266183998225 + 9753916011876 = 1505385^2 + 3123126^2 .

It is not a de Polignac number, because 12020100010101 - 238 = 11745222103157 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020100010181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 409919860 + ... + 409949181.

Almost surely, 212020100010101 is an apocalyptic number.

It is an amenable number.

12020100010101 is a deficient number, since it is larger than the sum of its proper divisors (6035056032823).

12020100010101 is an equidigital number, since it uses as much as digits as its factorization.

12020100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819869234 (or 819869225 counting only the distinct ones).

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

Adding to 12020100010101 its reverse (10101000102021), we get a palindrome (22121100112122).

The spelling of 12020100010101 in words is "twelve trillion, twenty billion, one hundred million, ten thousand, one hundred one".

Divisors: 1 3 9 27 81 181 543 1629 4887 14661 819869041 2459607123 7378821369 22136464107 66409392321 148396296421 445188889263 1335566667789 4006700003367 12020100010101