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10002121 is a prime number
BaseRepresentation
bin100110001001…
…111011001001
3200211011022221
4212021323021
510030031441
6554214041
7151005463
oct46117311
920734287
1010002121
115711818
123424321
1320c281c
141485133
15d288d1
hex989ec9

10002121 has 2 divisors, whose sum is σ = 10002122. Its totient is φ = 10002120.

The previous prime is 10002077. The next prime is 10002127. The reversal of 10002121 is 12120001.

10002121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9120400 + 881721 = 3020^2 + 939^2 .

It is an emirp because it is prime and its reverse (12120001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10002121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060 + 5001061.

It is an arithmetic number, because the mean of its divisors is an integer number (5001061).

Almost surely, 210002121 is an apocalyptic number.

It is an amenable number.

10002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002121 is an equidigital number, since it uses as much as digits as its factorization.

10002121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 10002121 is about 3162.6130019337. The cubic root of 10002121 is about 215.4586997797.

Adding to 10002121 its reverse (12120001), we get a palindrome (22122122).

The spelling of 10002121 in words is "ten million, two thousand, one hundred twenty-one".