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1010110101401 is a prime number
BaseRepresentation
bin11101011001011110100…
…00001111011110011001
310120120021022100210100002
432230233100033132121
5113022201141221101
62052012125022345
7132656320124222
oct16545720173631
93516238323302
101010110101401
1135a4269007a5
121439239b49b5
1374339a2556b
1436c6506a249
151b41e121d6b
hexeb2f40f799

1010110101401 has 2 divisors, whose sum is σ = 1010110101402. Its totient is φ = 1010110101400.

The previous prime is 1010110101383. The next prime is 1010110101419. The reversal of 1010110101401 is 1041010110101.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (1010110101383) and next prime (1010110101419).

It can be written as a sum of positive squares in only one way, i.e., 1000000000000 + 10110101401 = 1000000^2 + 100549^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010110101401 - 26 = 1010110101337 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010110101901) 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 as a sum of consecutive naturals, namely, 505055050700 + 505055050701.

It is an arithmetic number, because the mean of its divisors is an integer number (505055050701).

Almost surely, 21010110101401 is an apocalyptic number.

It is an amenable number.

1010110101401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010110101401 is an equidigital number, since it uses as much as digits as its factorization.

1010110101401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1010110101401 its reverse (1041010110101), we get a palindrome (2051120211502).

The spelling of 1010110101401 in words is "one trillion, ten billion, one hundred ten million, one hundred one thousand, four hundred one".