1100201102101 has 8 divisors (see below), whose sum is σ = 1120434147000. Its totient is φ = 1080038927040.

The previous prime is 1100201102087. The next prime is 1100201102171. The reversal of 1100201102101 is 1012011020011.

It can be written as a sum of positive squares in 4 ways, for example, as 60025490001 + 1040175612100 = 245001^2 + 1019890^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1100201102101 - 2⁷ = 1100201101973 is a prime.

It is a super-2 number, since 2×1100201102101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100201102171) 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 7 ways as a sum of consecutive naturals, for example, 17686126 + ... + 17748223.

It is an arithmetic number, because the mean of its divisors is an integer number (140054268375).

Almost surely, 2^{1100201102101} is an apocalyptic number.

It is an amenable number.

1100201102101 is a deficient number, since it is larger than the sum of its proper divisors (20233044899).

1100201102101 is an equidigital number, since it uses as much as digits as its factorization.

1100201102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35434919.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1100201102101 its reverse (1012011020011), we get a palindrome (2112212122112).

It can be divided in two parts, 110020 and 1102101, that added together give a palindrome (1212121).

The spelling of 1100201102101 in words is "one trillion, one hundred billion, two hundred one million, one hundred two thousand, one hundred one".