1201110011101 has 48 divisors (see below), whose sum is σ = 1629692006400. Its totient is φ = 859592036160.

The previous prime is 1201110011063. The next prime is 1201110011107. The reversal of 1201110011101 is 1011100111021.

It is not a de Polignac number, because 1201110011101 - 2¹⁷ = 1201109880029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201110011107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2357676 + ... + 2821498.

It is an arithmetic number, because the mean of its divisors is an integer number (33951916800).

Almost surely, 2^{1201110011101} is an apocalyptic number.

1201110011101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1201110011101 is a deficient number, since it is larger than the sum of its proper divisors (428581995299).

1201110011101 is a wasteful number, since it uses less digits than its factorization.

1201110011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464066 (or 464053 counting only the distinct ones).

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

Adding to 1201110011101 its reverse (1011100111021), we get a palindrome (2212210122122).

It can be divided in two parts, 1 and 201110011101, that added together give a palindrome (201110011102).

The spelling of 1201110011101 in words is "one trillion, two hundred one billion, one hundred ten million, eleven thousand, one hundred one".