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10121000121 = 321124555569
BaseRepresentation
bin10010110110100001…
…00011010010111001
3222010100110002002100
421123100203102321
5131211434000441
64352144054013
7505544036661
oct113320432271
928110402070
1010121000121
11432404a211
121b65604309
13c53aa468b
146c025d1a1
153e380ecb6
hex25b4234b9

10121000121 has 6 divisors (see below), whose sum is σ = 14619222410. Its totient is φ = 6747333408.

The previous prime is 10121000093. The next prime is 10121000129. The reversal of 10121000121 is 12100012101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9762428025 + 358572096 = 98805^2 + 18936^2 .

It is not a de Polignac number, because 10121000121 - 211 = 10120998073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1124555569 = 10121000121 / (1 + 0 + 1 + 2 + 1 + 0 + 0 + 0 + 1 + 2 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121000129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 562277776 + ... + 562277793.

Almost surely, 210121000121 is an apocalyptic number.

It is an amenable number.

10121000121 is a deficient number, since it is larger than the sum of its proper divisors (4498222289).

10121000121 is a wasteful number, since it uses less digits than its factorization.

10121000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124555575 (or 1124555572 counting only the distinct ones).

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

Adding to 10121000121 its reverse (12100012101), we get a palindrome (22221012222).

The spelling of 10121000121 in words is "ten billion, one hundred twenty-one million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 1124555569 3373666707 10121000121