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10010121021 = 34376932789
BaseRepresentation
bin10010101001010011…
…00101001100111101
3221211121210211120000
421110221211030331
5131000042333041
64333143344513
7503026424205
oct112451451475
927747724500
1010010121021
1142774a809a
121b34452139
13c36b22144
146ad639405
153d8c0bbb6
hex254a6533d

10010121021 has 20 divisors (see below), whose sum is σ = 14957814300. Its totient is φ = 6671439936.

The previous prime is 10010120963. The next prime is 10010121029. The reversal of 10010121021 is 12012101001.

It is a happy number.

10010121021 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 2 ways, for example, as 6722360100 + 3287760921 = 81990^2 + 57339^2 .

It is not a de Polignac number, because 10010121021 - 26 = 10010120957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010120994 and 10010121012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010121029) 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 19 ways as a sum of consecutive naturals, for example, 288895 + ... + 321683.

It is an arithmetic number, because the mean of its divisors is an integer number (747890715).

Almost surely, 210010121021 is an apocalyptic number.

It is an amenable number.

10010121021 is a deficient number, since it is larger than the sum of its proper divisors (4947693279).

10010121021 is an equidigital number, since it uses as much as digits as its factorization.

10010121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36570 (or 36561 counting only the distinct ones).

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

Adding to 10010121021 its reverse (12012101001), we get a palindrome (22022222022).

The spelling of 10010121021 in words is "ten billion, ten million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 27 81 3769 11307 32789 33921 98367 101763 295101 305289 885303 2655909 123581741 370745223 1112235669 3336707007 10010121021