101333030100 has 144 divisors (see below), whose sum is σ = 298176248832. Its totient is φ = 26565027840.

The previous prime is 101333030081. The next prime is 101333030107. The reversal of 101333030100 is 1030333101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101333030100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333030107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6847309 + ... + 6862091.

Almost surely, 2^101333030100 is an apocalyptic number.

101333030100 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 101333030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149088124416).

101333030100 is an abundant number, since it is smaller than the sum of its proper divisors (196843218732).

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

101333030100 is a wasteful number, since it uses less digits than its factorization.

101333030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15186 (or 15179 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 101333030100 its reverse (1030333101), we get a palindrome (102363363201).

The spelling of 101333030100 in words is "one hundred one billion, three hundred thirty-three million, thirty thousand, one hundred".