101101133330100 has 216 divisors, whose sum is σ = 331069114204920. Its totient is φ = 25772906880000.

The previous prime is 101101133330077. The next prime is 101101133330101. The reversal of 101101133330100 is 1033331101101.

101101133330100 is a `hidden beast` number, since 1 + 0 + 1 + 101 + 133 + 330 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 27021304032804 + 74079829297296 = 5198202^2 + 8606964^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101133330101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16540171 + ... + 21812370.

Almost surely, 2^{101101133330100} is an apocalyptic number.

101101133330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101133330100 is an abundant number, since it is smaller than the sum of its proper divisors (229967980874820).

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

101101133330100 is a wasteful number, since it uses less digits than its factorization.

101101133330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38352691 (or 38352681 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 101101133330100 its reverse (1033331101101), we get a palindrome (102134464431201).

The spelling of 101101133330100 in words is "one hundred one trillion, one hundred one billion, one hundred thirty-three million, three hundred thirty thousand, one hundred".