100111112010 has 384 divisors, whose sum is σ = 339659034624. Its totient is φ = 19886653440.

The previous prime is 100111112009. The next prime is 100111112039. The reversal of 100111112010 is 10211111001.

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 = 100111111983 and 100111112001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9388602 + ... + 9399258.

It is an arithmetic number, because the mean of its divisors is an integer number (884528736).

Almost surely, 2^100111112010 is an apocalyptic number.

100111112010 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 100111112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169829517312).

100111112010 is an abundant number, since it is smaller than the sum of its proper divisors (239547922614).

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

100111112010 is a wasteful number, since it uses less digits than its factorization.

100111112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10758 (or 10755 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111112010 its reverse (10211111001), we get a palindrome (110322223011).

The spelling of 100111112010 in words is "one hundred billion, one hundred eleven million, one hundred twelve thousand, ten".