1100101201001 has 16 divisors (see below), whose sum is σ = 1271321526528. Its totient is φ = 940806470400.

The previous prime is 1100101200943. The next prime is 1100101201019. The reversal of 1100101201001 is 1001021010011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100101201001 - 2³⁸ = 825223294057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100101201001.

It is not an unprimeable number, because it can be changed into a prime (1100101201081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1040030 + ... + 1811591.

It is an arithmetic number, because the mean of its divisors is an integer number (79457595408).

Almost surely, 2^{1100101201001} is an apocalyptic number.

1100101201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100101201001 is a deficient number, since it is larger than the sum of its proper divisors (171220325527).

1100101201001 is a wasteful number, since it uses less digits than its factorization.

1100101201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853712.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1100101201001 its reverse (1001021010011), we get a palindrome (2101122211012).

It can be divided in two parts, 1100 and 101201001, that added together give a palindrome (101202101).

The spelling of 1100101201001 in words is "one trillion, one hundred billion, one hundred one million, two hundred one thousand, one".