1201001101101 has 16 divisors (see below), whose sum is σ = 1808429104320. Its totient is φ = 787541704560.

The previous prime is 1201001101087. The next prime is 1201001101129. The reversal of 1201001101101 is 1011011001021.

It is not a de Polignac number, because 1201001101101 - 2⁶ = 1201001101037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201001101141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364600995 + ... + 364604288.

It is an arithmetic number, because the mean of its divisors is an integer number (113026819020).

Almost surely, 2^{1201001101101} is an apocalyptic number.

It is an amenable number.

1201001101101 is a deficient number, since it is larger than the sum of its proper divisors (607428003219).

1201001101101 is an equidigital number, since it uses as much as digits as its factorization.

1201001101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729205353 (or 729205347 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1201001101101 its reverse (1011011001021), we get a palindrome (2212012102122).

The spelling of 1201001101101 in words is "one trillion, two hundred one billion, one million, one hundred one thousand, one hundred one".