1102001102001 has 24 divisors (see below), whose sum is σ = 1596625823520. Its totient is φ = 732431268096.

The previous prime is 1102001101997. The next prime is 1102001102021. The reversal of 1102001102001 is 1002011002011.

It is a happy number.

It is not a de Polignac number, because 1102001102001 - 2² = 1102001101997 is a prime.

It is a super-2 number, since 2×1102001102001² (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1102001102021) 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, 21895201 + ... + 21945473.

It is an arithmetic number, because the mean of its divisors is an integer number (66526075980).

Almost surely, 2^{1102001102001} is an apocalyptic number.

It is an amenable number.

1102001102001 is a deficient number, since it is larger than the sum of its proper divisors (494624721519).

1102001102001 is a wasteful number, since it uses less digits than its factorization.

1102001102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57645 (or 57642 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1102001102001 its reverse (1002011002011), we get a palindrome (2104012104012).

It can be divided in two parts, 110200 and 1102001, that added together give a square (1212201 = 1101²).

The spelling of 1102001102001 in words is "one trillion, one hundred two billion, one million, one hundred two thousand, one".