1211101100001 has 24 divisors (see below), whose sum is σ = 1885010055656. Its totient is φ = 744867705600.

The previous prime is 1211101099997. The next prime is 1211101100029. The reversal of 1211101100001 is 1000011011121.

It can be written as a sum of positive squares in 4 ways, for example, as 93480005025 + 1117621094976 = 305745^2 + 1057176^2 .

It is not a de Polignac number, because 1211101100001 - 2² = 1211101099997 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1211101150001) 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, 2747350 + ... + 3157551.

Almost surely, 2^{1211101100001} is an apocalyptic number.

It is an amenable number.

1211101100001 is a deficient number, since it is larger than the sum of its proper divisors (673908955655).

1211101100001 is a wasteful number, since it uses less digits than its factorization.

1211101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906673 (or 5906670 counting only the distinct ones).

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

Adding to 1211101100001 its reverse (1000011011121), we get a palindrome (2211112111122).

The spelling of 1211101100001 in words is "one trillion, two hundred eleven billion, one hundred one million, one hundred thousand, one".