1101121112101 has 2 divisors, whose sum is σ = 1101121112102. Its totient is φ = 1101121112100.

The previous prime is 1101121112093. The next prime is 1101121112111. The reversal of 1101121112101 is 1012111211011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 898702104001 + 202419008100 = 947999^2 + 449910^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101121112101 - 2³ = 1101121112093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101121112111) 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, 550560556050 + 550560556051.

It is an arithmetic number, because the mean of its divisors is an integer number (550560556051).

Almost surely, 2^{1101121112101} is an apocalyptic number.

It is an amenable number.

1101121112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101121112101 is an equidigital number, since it uses as much as digits as its factorization.

1101121112101 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 13.

Adding to 1101121112101 its reverse (1012111211011), we get a palindrome (2113232323112).

The spelling of 1101121112101 in words is "one trillion, one hundred one billion, one hundred twenty-one million, one hundred twelve thousand, one hundred one".