1101121101201 has 24 divisors (see below), whose sum is σ = 1674294493536. Its totient is φ = 638331063040.

The previous prime is 1101121101133. The next prime is 1101121101203. The reversal of 1101121101201 is 1021011211011.

It is not a de Polignac number, because 1101121101201 - 2¹¹ = 1101121099153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101121101203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31520640 + ... + 31555553.

It is an arithmetic number, because the mean of its divisors is an integer number (69762270564).

Almost surely, 2^{1101121101201} is an apocalyptic number.

1101121101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101121101201 is a deficient number, since it is larger than the sum of its proper divisors (573173392335).

1101121101201 is a wasteful number, since it uses less digits than its factorization.

1101121101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63076253 (or 63076230 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1101121101201 its reverse (1021011211011), we get a palindrome (2122132312212).

The spelling of 1101121101201 in words is "one trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, two hundred one".