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10120200121 = 67796912767
BaseRepresentation
bin10010110110011010…
…11111111110111001
3222010021221102200201
421123031133332321
5131211232400441
64352115002201
7505534165423
oct113315377671
928107842621
1010120200121
114323653159
121b65299361
13c538844c5
146c00d1813
153e3702c31
hex25b35ffb9

10120200121 has 16 divisors (see below), whose sum is σ = 10420080640. Its totient is φ = 9825163920.

The previous prime is 10120200119. The next prime is 10120200133. The reversal of 10120200121 is 12100202101.

It is a cyclic number.

It is not a de Polignac number, because 10120200121 - 21 = 10120200119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120200098 and 10120200107.

It is not an unprimeable number, because it can be changed into a prime (10120200421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3656080 + ... + 3658846.

It is an arithmetic number, because the mean of its divisors is an integer number (651255040).

Almost surely, 210120200121 is an apocalyptic number.

It is an amenable number.

10120200121 is a deficient number, since it is larger than the sum of its proper divisors (299880519).

10120200121 is an equidigital number, since it uses as much as digits as its factorization.

10120200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10120200121 its reverse (12100202101), we get a palindrome (22220402222).

The spelling of 10120200121 in words is "ten billion, one hundred twenty million, two hundred thousand, one hundred twenty-one".

Divisors: 1 67 79 691 2767 5293 46297 54589 185389 218593 1911997 3657463 14645731 128103799 151047763 10120200121