10010100200112 has 240 divisors, whose sum is σ = 30787171807392. Its totient is φ = 3137740001280.

The previous prime is 10010100200083. The next prime is 10010100200147. The reversal of 10010100200112 is 21100200101001.

It is a happy number.

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 = 10010100200094 and 10010100200103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77995258 + ... + 78123494.

Almost surely, 2^{10010100200112} is an apocalyptic number.

10010100200112 is a gapful number since it is divisible by the number (12) 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 10010100200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15393585903696).

10010100200112 is an abundant number, since it is smaller than the sum of its proper divisors (20777071607280).

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

10010100200112 is a wasteful number, since it uses less digits than its factorization.

10010100200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129458 (or 129440 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010100200112 its reverse (21100200101001), we get a palindrome (31110300301113).

The spelling of 10010100200112 in words is "ten trillion, ten billion, one hundred million, two hundred thousand, one hundred twelve".