101032001100 has 216 divisors, whose sum is σ = 332646542592. Its totient is φ = 25599024000.

The previous prime is 101032001099. The next prime is 101032001107. The reversal of 101032001100 is 1100230101.

101032001100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101032001107) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3109539 + ... + 3141861.

Almost surely, 2^101032001100 is an apocalyptic number.

101032001100 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 101032001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166323271296).

101032001100 is an abundant number, since it is smaller than the sum of its proper divisors (231614541492).

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

101032001100 is a wasteful number, since it uses less digits than its factorization.

101032001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32517 (or 32507 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101032001100 its reverse (1100230101), we get a palindrome (102132231201).

The spelling of 101032001100 in words is "one hundred one billion, thirty-two million, one thousand, one hundred".