100110023010 has 160 divisors (see below), whose sum is σ = 276701483520. Its totient is φ = 25956225792.

The previous prime is 100110022981. The next prime is 100110023033. The reversal of 100110023010 is 10320011001.

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 = 100110022983 and 100110023001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7760646 + ... + 7773534.

It is an arithmetic number, because the mean of its divisors is an integer number (1729384272).

Almost surely, 2^100110023010 is an apocalyptic number.

100110023010 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 100110023010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138350741760).

100110023010 is an abundant number, since it is smaller than the sum of its proper divisors (176591460510).

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

100110023010 is a wasteful number, since it uses less digits than its factorization.

100110023010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13174 (or 13165 counting only the distinct ones).

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

Adding to 100110023010 its reverse (10320011001), we get a palindrome (110430034011).

The spelling of 100110023010 in words is "one hundred billion, one hundred ten million, twenty-three thousand, ten".