1101012122401 has 2 divisors, whose sum is σ = 1101012122402. Its totient is φ = 1101012122400.

The previous prime is 1101012122369. The next prime is 1101012122407. The reversal of 1101012122401 is 1042212101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 847962880801 + 253049241600 = 920849^2 + 503040^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101012122401 - 2⁵ = 1101012122369 is a prime.

It is not a weakly prime, because it can be changed into another prime (1101012122407) 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, 550506061200 + 550506061201.

It is an arithmetic number, because the mean of its divisors is an integer number (550506061201).

Almost surely, 2^{1101012122401} is an apocalyptic number.

It is an amenable number.

1101012122401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101012122401 is an equidigital number, since it uses as much as digits as its factorization.

1101012122401 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 16.

Adding to 1101012122401 its reverse (1042212101011), we get a palindrome (2143224223412).

The spelling of 1101012122401 in words is "one trillion, one hundred one billion, twelve million, one hundred twenty-two thousand, four hundred one".