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101042000401 is a prime number
BaseRepresentation
bin101111000011010010…
…0101001001000010001
3100122210210100110002011
41132012210221020101
53123413223003101
6114230144422521
710204625555356
oct1360644511021
9318723313064
10101042000401
1139940636461
12176ba917a41
1396b3663b24
144c675c262d
152965965751
hex1786929211

101042000401 has 2 divisors, whose sum is σ = 101042000402. Its totient is φ = 101042000400.

The previous prime is 101042000393. The next prime is 101042000413. The reversal of 101042000401 is 104000240101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83868160000 + 17173840401 = 289600^2 + 131049^2 .

It is an emirp because it is prime and its reverse (104000240101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101042000401 - 23 = 101042000393 is a prime.

It is not a weakly prime, because it can be changed into another prime (101042000441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50521000200 + 50521000201.

It is an arithmetic number, because the mean of its divisors is an integer number (50521000201).

Almost surely, 2101042000401 is an apocalyptic number.

It is an amenable number.

101042000401 is a deficient number, since it is larger than the sum of its proper divisors (1).

101042000401 is an equidigital number, since it uses as much as digits as its factorization.

101042000401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101042000401 its reverse (104000240101), we get a palindrome (205042240502).

The spelling of 101042000401 in words is "one hundred one billion, forty-two million, four hundred one", and thus it is an aban number.