100011320010 has 96 divisors (see below), whose sum is σ = 297504410112. Its totient is φ = 22834506240.

The previous prime is 100011319997. The next prime is 100011320027. The reversal of 100011320010 is 10023110001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100011319974 and 100011320001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486802 + ... + 661058.

It is an arithmetic number, because the mean of its divisors is an integer number (3099004272).

Almost surely, 2^100011320010 is an apocalyptic number.

100011320010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011320010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148752205056).

100011320010 is an abundant number, since it is smaller than the sum of its proper divisors (197493090102).

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

100011320010 is a wasteful number, since it uses less digits than its factorization.

100011320010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175188 (or 175185 counting only the distinct ones).

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

Adding to 100011320010 its reverse (10023110001), we get a palindrome (110034430011).

The spelling of 100011320010 in words is "one hundred billion, eleven million, three hundred twenty thousand, ten".