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12101000010121 = 111100090910011
BaseRepresentation
bin1011000000010111101111…
…0011101001100110001001
31120211211210111102020001001
42300011323303221212021
53041230322000310441
641423042254455001
72356161026643301
oct260057363514611
946754714366031
1012101000010121
113946007040350
121435308504461
1369a172440c99
142db997790601
1515eb94d3e731
hexb017bce9989

12101000010121 has 4 divisors (see below), whose sum is σ = 13201090920144. Its totient is φ = 11000909100100.

The previous prime is 12101000010089. The next prime is 12101000010139.

12101000010121 is nontrivially palindromic in base 10.

12101000010121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 12101000010121 - 25 = 12101000010089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12101000010098 and 12101000010107.

It is not an unprimeable number, because it can be changed into a prime (12101000010821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 550045454995 + ... + 550045455016.

It is an arithmetic number, because the mean of its divisors is an integer number (3300272730036).

Almost surely, 212101000010121 is an apocalyptic number.

12101000010121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101000010121 is a deficient number, since it is larger than the sum of its proper divisors (1100090910023).

12101000010121 is a wasteful number, since it uses less digits than its factorization.

12101000010121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100090910022.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 121010000 and 10121, that added together give a palindrome (121020121).

The spelling of 12101000010121 in words is "twelve trillion, one hundred one billion, ten thousand, one hundred twenty-one".

Divisors: 1 11 1100090910011 12101000010121