110001002011101 has 24 divisors (see below), whose sum is σ = 160366614756920. Its totient is φ = 72652797849600.

The previous prime is 110001002011067. The next prime is 110001002011139. The reversal of 110001002011101 is 101110200100011.

It can be written as a sum of positive squares in 4 ways, for example, as 5609294876025 + 104391707135076 = 2368395^2 + 10217226^2 .

It is not a de Polignac number, because 110001002011101 - 2¹¹ = 110001002009053 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001002011301) 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, 1988481 + ... + 14965161.

Almost surely, 2^{110001002011101} is an apocalyptic number.

It is an amenable number.

110001002011101 is a deficient number, since it is larger than the sum of its proper divisors (50365612745819).

110001002011101 is a wasteful number, since it uses less digits than its factorization.

110001002011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12985437 (or 12985434 counting only the distinct ones).

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

Adding to 110001002011101 its reverse (101110200100011), we get a palindrome (211111202111112).

The spelling of 110001002011101 in words is "one hundred ten trillion, one billion, two million, eleven thousand, one hundred one".