1101112010101 has 2 divisors, whose sum is σ = 1101112010102. Its totient is φ = 1101112010100.

The previous prime is 1101112010069. The next prime is 1101112010113. The reversal of 1101112010101 is 1010102111011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1096992295876 + 4119714225 = 1047374^2 + 64185^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101112010101 - 2⁵ = 1101112010069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101116010101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550556005050 + 550556005051.

It is an arithmetic number, because the mean of its divisors is an integer number (550556005051).

Almost surely, 2^{1101112010101} is an apocalyptic number.

It is an amenable number.

1101112010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101112010101 is an equidigital number, since it uses as much as digits as its factorization.

1101112010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1101112010101 its reverse (1010102111011), we get a palindrome (2111214121112).

It can be divided in two parts, 110111 and 2010101, that added together give a palindrome (2120212).

The spelling of 1101112010101 in words is "one trillion, one hundred one billion, one hundred twelve million, ten thousand, one hundred one".