101132030020104 has 96 divisors (see below), whose sum is σ = 277835067619200. Its totient is φ = 33226879415040.

The previous prime is 101132030020061. The next prime is 101132030020111. The reversal of 101132030020104 is 401020030231101.

101132030020104 is a `hidden beast` number, since 1 + 0 + 11 + 320 + 300 + 20 + 10 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1574757 + ... + 14308875.

It is an arithmetic number, because the mean of its divisors is an integer number (2894115287700).

Almost surely, 2^{101132030020104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101132030020104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138917533809600).

101132030020104 is an abundant number, since it is smaller than the sum of its proper divisors (176703037599096).

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

101132030020104 is a wasteful number, since it uses less digits than its factorization.

101132030020104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12735715 (or 12735708 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101132030020104 its reverse (401020030231101), we get a palindrome (502152060251205).

The spelling of 101132030020104 in words is "one hundred one trillion, one hundred thirty-two billion, thirty million, twenty thousand, one hundred four".