101101110001000 has 64 divisors (see below), whose sum is σ = 236821249716480. Its totient is φ = 40398623092800.

The previous prime is 101101110000973. The next prime is 101101110001009. The reversal of 101101110001000 is 100011101101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101101110001009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51308652 + ... + 53242651.

It is an arithmetic number, because the mean of its divisors is an integer number (3700332026820).

Almost surely, 2^{101101110001000} is an apocalyptic number.

101101110001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101110001000 is an abundant number, since it is smaller than the sum of its proper divisors (135720139715480).

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

101101110001000 is a wasteful number, since it uses less digits than its factorization.

101101110001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104552291 (or 104552277 counting only the distinct ones).

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

Adding to 101101110001000 its reverse (100011101101), we get a palindrome (101201121102101).

The spelling of 101101110001000 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one thousand".