101103132230100 has 864 divisors, whose sum is σ = 436990900958976. Its totient is φ = 18868283596800.

The previous prime is 101103132230047. The next prime is 101103132230117. The reversal of 101103132230100 is 1032231301101.

101103132230100 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 31 + 322 + 301 + 0 + 0 = 666.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 31816752 + ... + 34849848.

Almost surely, 2^{101103132230100} is an apocalyptic number.

101103132230100 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 101103132230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218495450479488).

101103132230100 is an abundant number, since it is smaller than the sum of its proper divisors (335887768728876).

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

101103132230100 is a wasteful number, since it uses less digits than its factorization.

101103132230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033185 (or 3033175 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101103132230100 its reverse (1032231301101), we get a palindrome (102135363531201).

The spelling of 101103132230100 in words is "one hundred one trillion, one hundred three billion, one hundred thirty-two million, two hundred thirty thousand, one hundred".