1101112100001 has 6 divisors (see below), whose sum is σ = 1590495255570. Its totient is φ = 734074733328.

The previous prime is 1101112099993. The next prime is 1101112100021. The reversal of 1101112100001 is 1000012111011.

It can be written as a sum of positive squares in only one way, i.e., 971062430625 + 130049669376 = 985425^2 + 360624^2 .

It is not a de Polignac number, because 1101112100001 - 2³ = 1101112099993 is a prime.

It is a super-2 number, since 2×1101112100001² (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), and also a Moran number because the ratio is a prime number: 122345788889 = 1101112100001 / (1 + 1 + 0 + 1 + 1 + 1 + 2 + 1 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1101112100021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61172894436 + ... + 61172894453.

It is an arithmetic number, because the mean of its divisors is an integer number (265082542595).

Almost surely, 2^{1101112100001} is an apocalyptic number.

It is an amenable number.

1101112100001 is a deficient number, since it is larger than the sum of its proper divisors (489383155569).

1101112100001 is a wasteful number, since it uses less digits than its factorization.

1101112100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122345788895 (or 122345788892 counting only the distinct ones).

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

Adding to 1101112100001 its reverse (1000012111011), we get a palindrome (2101124211012).

The spelling of 1101112100001 in words is "one trillion, one hundred one billion, one hundred twelve million, one hundred thousand, one".