1100101101001 has 8 divisors (see below), whose sum is σ = 1257266911680. Its totient is φ = 942937417968.

The previous prime is 1100101100981. The next prime is 1100101101017. The reversal of 1100101101001 is 1001011010011.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1100101101001 - 2¹³ = 1100101092809 is a prime.

It is a super-2 number, since 2×1100101101001² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100101101061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797610 + ... + 1684156.

It is an arithmetic number, because the mean of its divisors is an integer number (157158363960).

Almost surely, 2^{1100101101001} is an apocalyptic number.

It is an amenable number.

1100101101001 is a deficient number, since it is larger than the sum of its proper divisors (157165810679).

1100101101001 is an equidigital number, since it uses as much as digits as its factorization.

1100101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063823.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1100101101001 its reverse (1001011010011), we get a palindrome (2101112111012).

The spelling of 1100101101001 in words is "one trillion, one hundred billion, one hundred one million, one hundred one thousand, one".