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10121112041 is a prime number
BaseRepresentation
bin10010110110100001…
…11110100111101001
3222010100122202121112
421123100332213221
5131212001041131
64352150320105
7505545014165
oct113320764751
928110582545
1010121112041
114324116307
121b65659035
13c53b135c1
146c028bca5
153e383302b
hex25b43e9e9

10121112041 has 2 divisors, whose sum is σ = 10121112042. Its totient is φ = 10121112040.

The previous prime is 10121111927. The next prime is 10121112091. The reversal of 10121112041 is 14021112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7784356441 + 2336755600 = 88229^2 + 48340^2 .

It is an emirp because it is prime and its reverse (14021112101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121112041 - 230 = 9047370217 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121112091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060556020 + 5060556021.

It is an arithmetic number, because the mean of its divisors is an integer number (5060556021).

Almost surely, 210121112041 is an apocalyptic number.

It is an amenable number.

10121112041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121112041 is an equidigital number, since it uses as much as digits as its factorization.

10121112041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10121112041 its reverse (14021112101), we get a palindrome (24142224142).

The spelling of 10121112041 in words is "ten billion, one hundred twenty-one million, one hundred twelve thousand, forty-one".