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10001120021 is a prime number
BaseRepresentation
bin10010101000001110…
…01111101100010101
3221210222212112111122
421110013033230111
5130440241320041
64332222413325
7502560055214
oct112407175425
927728775448
1010001120021
11427240a552
121b31431245
13c34cc01c9
146ac37507b
153d802ec4b
hex2541cfb15

10001120021 has 2 divisors, whose sum is σ = 10001120022. Its totient is φ = 10001120020.

The previous prime is 10001120011. The next prime is 10001120027. The reversal of 10001120021 is 12002110001.

10001120021 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., 8604603121 + 1396516900 = 92761^2 + 37370^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001120021 - 222 = 9996925717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001119990 and 10001120008.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001120027) 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 as a sum of consecutive naturals, namely, 5000560010 + 5000560011.

It is an arithmetic number, because the mean of its divisors is an integer number (5000560011).

Almost surely, 210001120021 is an apocalyptic number.

It is an amenable number.

10001120021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001120021 is an equidigital number, since it uses as much as digits as its factorization.

10001120021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001120021 its reverse (12002110001), we get a palindrome (22003230022).

It can be divided in two parts, 10001 and 120021, that multiplied together give a palindrome (1200330021).

The spelling of 10001120021 in words is "ten billion, one million, one hundred twenty thousand, twenty-one".