106400100111001 has 2 divisors, whose sum is σ = 106400100111002. Its totient is φ = 106400100111000.

The previous prime is 106400100110977. The next prime is 106400100111013. The reversal of 106400100111001 is 100111001004601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106359020928601 + 41079182400 = 10313051^2 + 202680^2 .

It is a cyclic number.

It is not a de Polignac number, because 106400100111001 - 2³⁷ = 106262661157529 is a prime.

It is a super-3 number, since 3×106400100111001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (106400100111031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53200050055500 + 53200050055501.

It is an arithmetic number, because the mean of its divisors is an integer number (53200050055501).

Almost surely, 2^{106400100111001} is an apocalyptic number.

It is an amenable number.

106400100111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

106400100111001 is an equidigital number, since it uses as much as digits as its factorization.

106400100111001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 106400100111001 its reverse (100111001004601), we get a palindrome (206511101115602).

The spelling of 106400100111001 in words is "one hundred six trillion, four hundred billion, one hundred million, one hundred eleven thousand, one".