1100122012001 has 2 divisors, whose sum is σ = 1100122012002. Its totient is φ = 1100122012000.

The previous prime is 1100122011979. The next prime is 1100122012037. The reversal of 1100122012001 is 1002102210011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 566858410000 + 533263602001 = 752900^2 + 730249^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100122012001 - 2¹⁴ = 1100121995617 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100122012091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550061006000 + 550061006001.

It is an arithmetic number, because the mean of its divisors is an integer number (550061006001).

Almost surely, 2^{1100122012001} is an apocalyptic number.

It is an amenable number.

1100122012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100122012001 is an equidigital number, since it uses as much as digits as its factorization.

1100122012001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1100122012001 its reverse (1002102210011), we get a palindrome (2102224222012).

The spelling of 1100122012001 in words is "one trillion, one hundred billion, one hundred twenty-two million, twelve thousand, one".