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10121112427 is a prime number
BaseRepresentation
bin10010110110100001…
…11110101101101011
3222010100122210010211
421123100332231223
5131212001044202
64352150321551
7505545015256
oct113320765553
928110583124
1010121112427
114324116628
121b656592b7
13c53b1382a
146c028c09d
153e38331d7
hex25b43eb6b

10121112427 has 2 divisors, whose sum is σ = 10121112428. Its totient is φ = 10121112426.

The previous prime is 10121112389. The next prime is 10121112439. The reversal of 10121112427 is 72421112101.

It is a happy number.

10121112427 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10121112427 is a prime.

It is a super-5 number, since 5×101211124275 (a number of 51 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121112398 and 10121112407.

It is not a weakly prime, because it can be changed into another prime (10121112457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060556213 + 5060556214.

It is an arithmetic number, because the mean of its divisors is an integer number (5060556214).

Almost surely, 210121112427 is an apocalyptic number.

10121112427 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121112427 is an equidigital number, since it uses as much as digits as its factorization.

10121112427 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 10121112427 its reverse (72421112101), we get a palindrome (82542224528).

The spelling of 10121112427 in words is "ten billion, one hundred twenty-one million, one hundred twelve thousand, four hundred twenty-seven".