100110050010 has 256 divisors, whose sum is σ = 288968601600. Its totient is φ = 24586797312.

The previous prime is 100110049979. The next prime is 100110050083. The reversal of 100110050010 is 10050011001.

It is a super-2 number, since 2×100110050010² (a number of 23 digits) contains 22 as substring.

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 = 100110049974 and 100110050001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105712357 + ... + 105713303.

It is an arithmetic number, because the mean of its divisors is an integer number (1128783600).

Almost surely, 2^100110050010 is an apocalyptic number.

100110050010 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 100110050010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144484300800).

100110050010 is an abundant number, since it is smaller than the sum of its proper divisors (188858551590).

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

100110050010 is a wasteful number, since it uses less digits than its factorization.

100110050010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 100110050010 its reverse (10050011001), we get a palindrome (110160061011).

The spelling of 100110050010 in words is "one hundred billion, one hundred ten million, fifty thousand, ten".