101011100401 has 2 divisors, whose sum is σ = 101011100402. Its totient is φ = 101011100400.

The previous prime is 101011100353. The next prime is 101011100431. The reversal of 101011100401 is 104001110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78988540401 + 22022560000 = 281049^2 + 148400^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011100401 - 2²³ = 101002711793 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011100431) 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, 50505550200 + 50505550201.

It is an arithmetic number, because the mean of its divisors is an integer number (50505550201).

Almost surely, 2^101011100401 is an apocalyptic number.

It is an amenable number.

101011100401 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011100401 is an equidigital number, since it uses as much as digits as its factorization.

101011100401 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 10.

Adding to 101011100401 its reverse (104001110101), we get a palindrome (205012210502).

The spelling of 101011100401 in words is "one hundred one billion, eleven million, one hundred thousand, four hundred one".