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12102110001 = 321344678889
BaseRepresentation
bin10110100010101011…
…11000101100110001
31011020102020212221100
423101111320230301
5144241120010001
65320514115013
7605621144352
oct132125705461
934212225840
1012102110001
115150364403
122418b7ba69
1311ab366847
1482b3dbd29
154ac6e0586
hex2d1578b31

12102110001 has 6 divisors (see below), whose sum is σ = 17480825570. Its totient is φ = 8068073328.

The previous prime is 12102109993. The next prime is 12102110051. The reversal of 12102110001 is 10001120121.

It is a happy number.

12102110001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10857431601 + 1244678400 = 104199^2 + 35280^2 .

It is not a de Polignac number, because 12102110001 - 23 = 12102109993 is a prime.

It is a super-2 number, since 2×121021100012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1344678889 = 12102110001 / (1 + 2 + 1 + 0 + 2 + 1 + 1 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12102110051) 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 5 ways as a sum of consecutive naturals, for example, 672339436 + ... + 672339453.

Almost surely, 212102110001 is an apocalyptic number.

It is an amenable number.

12102110001 is a deficient number, since it is larger than the sum of its proper divisors (5378715569).

12102110001 is a wasteful number, since it uses less digits than its factorization.

12102110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344678895 (or 1344678892 counting only the distinct ones).

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

Adding to 12102110001 its reverse (10001120121), we get a palindrome (22103230122).

The spelling of 12102110001 in words is "twelve billion, one hundred two million, one hundred ten thousand, one".

Divisors: 1 3 9 1344678889 4034036667 12102110001