101111000100401 has 2 divisors, whose sum is σ = 101111000100402. Its totient is φ = 101111000100400.

The previous prime is 101111000100377. The next prime is 101111000100491. The reversal of 101111000100401 is 104001000111101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66782826149776 + 34328173950625 = 8172076^2 + 5859025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111000100401 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111000100491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500050200 + 50555500050201.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500050201).

Almost surely, 2^{101111000100401} is an apocalyptic number.

It is an amenable number.

101111000100401 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111000100401 is an equidigital number, since it uses as much as digits as its factorization.

101111000100401 is an evil number, because the sum of its binary digits is even.

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

Adding to 101111000100401 its reverse (104001000111101), we get a palindrome (205112000211502).

The spelling of 101111000100401 in words is "one hundred one trillion, one hundred eleven billion, one hundred thousand, four hundred one".