1100743701101 has 48 divisors (see below), whose sum is σ = 1283752686720. Its totient is φ = 941146905600.

The previous prime is 1100743701073. The next prime is 1100743701103. The reversal of 1100743701101 is 1011073470011.

It is not a de Polignac number, because 1100743701101 - 2²⁶ = 1100676592237 is a prime.

It is a super-2 number, since 2×1100743701101² (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 (1100743701103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67237445 + ... + 67253813.

It is an arithmetic number, because the mean of its divisors is an integer number (26744847640).

Almost surely, 2^{1100743701101} is an apocalyptic number.

1100743701101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100743701101 is a deficient number, since it is larger than the sum of its proper divisors (183008985619).

1100743701101 is a wasteful number, since it uses less digits than its factorization.

1100743701101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16818 (or 16807 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 26.

The spelling of 1100743701101 in words is "one trillion, one hundred billion, seven hundred forty-three million, seven hundred one thousand, one hundred one".