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10032111121 is a prime number
BaseRepresentation
bin10010101011111010…
…11101111000010001
3221220011012001022011
421111331131320101
5131021210023441
64335250542521
7503414352244
oct112575357021
927804161264
1010032111121
11428895762a
121b3b897a41
13c3b551336
146b252125b
153dab02581
hex255f5de11

10032111121 has 2 divisors, whose sum is σ = 10032111122. Its totient is φ = 10032111120.

The previous prime is 10032111119. The next prime is 10032111139. The reversal of 10032111121 is 12111123001.

It is a happy number.

10032111121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9957046225 + 75064896 = 99785^2 + 8664^2 .

It is a cyclic number.

It is not a de Polignac number, because 10032111121 - 21 = 10032111119 is a prime.

Together with 10032111119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10032111161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016055560 + 5016055561.

It is an arithmetic number, because the mean of its divisors is an integer number (5016055561).

Almost surely, 210032111121 is an apocalyptic number.

It is an amenable number.

10032111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032111121 is an equidigital number, since it uses as much as digits as its factorization.

10032111121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10032111121 its reverse (12111123001), we get a palindrome (22143234122).

The spelling of 10032111121 in words is "ten billion, thirty-two million, one hundred eleven thousand, one hundred twenty-one".