1101000101110 has 256 divisors, whose sum is σ = 2646868783104. Its totient is φ = 319889129472.

The previous prime is 1101000101107. The next prime is 1101000101111. The reversal of 1101000101110 is 111010001011.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1101000101093 and 1101000101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101000101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106753314 + ... + 106763626.

It is an arithmetic number, because the mean of its divisors is an integer number (10339331184).

Almost surely, 2^{1101000101110} is an apocalyptic number.

1101000101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1101000101110 is an abundant number, since it is smaller than the sum of its proper divisors (1545868681994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1101000101110 is a wasteful number, since it uses less digits than its factorization.

1101000101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527.

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

Adding to 1101000101110 its reverse (111010001011), we get a palindrome (1212010102121).

The spelling of 1101000101110 in words is "one trillion, one hundred one billion, one hundred one thousand, one hundred ten".