100804148061401 has 2 divisors, whose sum is σ = 100804148061402. Its totient is φ = 100804148061400.

The previous prime is 100804148061349. The next prime is 100804148061433. The reversal of 100804148061401 is 104160841408001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60561313873225 + 40242834188176 = 7782115^2 + 6343724^2 .

It is a cyclic number.

It is not a de Polignac number, because 100804148061401 - 2¹⁴ = 100804148045017 is a prime.

It is a super-2 number, since 2×100804148061401² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100804148061901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50402074030700 + 50402074030701.

It is an arithmetic number, because the mean of its divisors is an integer number (50402074030701).

Almost surely, 2^{100804148061401} is an apocalyptic number.

It is an amenable number.

100804148061401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100804148061401 is an equidigital number, since it uses as much as digits as its factorization.

100804148061401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24576, while the sum is 38.

Adding to 100804148061401 its reverse (104160841408001), we get a palindrome (204964989469402).

The spelling of 100804148061401 in words is "one hundred trillion, eight hundred four billion, one hundred forty-eight million, sixty-one thousand, four hundred one".