101101110100000 has 144 divisors (see below), whose sum is σ = 248824994306112. Its totient is φ = 40434364000000.

The previous prime is 101101110099961. The next prime is 101101110100007. The reversal of 101101110100000 is 1011101101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101101110100007) 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, 697027485 + ... + 697172515.

It is an arithmetic number, because the mean of its divisors is an integer number (1727951349348).

Almost surely, 2^{101101110100000} is an apocalyptic number.

101101110100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124412497153056).

101101110100000 is an abundant number, since it is smaller than the sum of its proper divisors (147723884206112).

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

101101110100000 is an frugal number, since it uses more digits than its factorization.

101101110100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152037 (or 152009 counting only the distinct ones).

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

Adding to 101101110100000 its reverse (1011101101), we get a palindrome (101102121201101).

The spelling of 101101110100000 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred thousand".