100101320100 has 144 divisors (see below), whose sum is σ = 323061614400. Its totient is φ = 26589634560.

The previous prime is 100101320093. The next prime is 100101320101. The reversal of 100101320100 is 1023101001.

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 (100101320101) 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, 621771 + ... + 766029.

Almost surely, 2^100101320100 is an apocalyptic number.

100101320100 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 100101320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161530807200).

100101320100 is an abundant number, since it is smaller than the sum of its proper divisors (222960294300).

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

100101320100 is a wasteful number, since it uses less digits than its factorization.

100101320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144539 (or 144526 counting only the distinct ones).

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

Adding to 100101320100 its reverse (1023101001), we get a palindrome (101124421101).

The spelling of 100101320100 in words is "one hundred billion, one hundred one million, three hundred twenty thousand, one hundred".