1001101102011 has 32 divisors (see below), whose sum is σ = 1517765483520. Its totient is φ = 651810311712.

The previous prime is 1001101102007. The next prime is 1001101102013. The reversal of 1001101102011 is 1102011011001.

It is not a de Polignac number, because 1001101102011 - 2² = 1001101102007 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001101101984 and 1001101102002.

It is not an unprimeable number, because it can be changed into a prime (1001101102013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12274081 + ... + 12355373.

It is an arithmetic number, because the mean of its divisors is an integer number (47430171360).

Almost surely, 2^{1001101102011} is an apocalyptic number.

1001101102011 is a deficient number, since it is larger than the sum of its proper divisors (516664381509).

1001101102011 is a wasteful number, since it uses less digits than its factorization.

1001101102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91952 (or 91946 counting only the distinct ones).

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

Adding to 1001101102011 its reverse (1102011011001), we get a palindrome (2103112113012).

The spelling of 1001101102011 in words is "one trillion, one billion, one hundred one million, one hundred two thousand, eleven".