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101340400001 is a prime number
BaseRepresentation
bin101111001100001011…
…0111100100110000001
3100200120120211201101012
41132120112330212001
53130021120300001
6114315524250305
710215211121141
oct1363026744601
9320516751335
10101340400001
1139a840174a5
1217782840995
139730421339
144c9509a921
152981c5a2bb
hex17985bc981

101340400001 has 2 divisors, whose sum is σ = 101340400002. Its totient is φ = 101340400000.

The previous prime is 101340399971. The next prime is 101340400019. The reversal of 101340400001 is 100004043101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100653907600 + 686492401 = 317260^2 + 26201^2 .

It is an emirp because it is prime and its reverse (100004043101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101340400001 is a prime.

It is not a weakly prime, because it can be changed into another prime (101340402001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50670200000 + 50670200001.

It is an arithmetic number, because the mean of its divisors is an integer number (50670200001).

Almost surely, 2101340400001 is an apocalyptic number.

It is an amenable number.

101340400001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101340400001 is an equidigital number, since it uses as much as digits as its factorization.

101340400001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 101340400001 its reverse (100004043101), we get a palindrome (201344443102).

The spelling of 101340400001 in words is "one hundred one billion, three hundred forty million, four hundred thousand, one".