100112000110020 has 36 divisors (see below), whose sum is σ = 303673067000940. Its totient is φ = 26696533362624.

The previous prime is 100112000110019. The next prime is 100112000110043. The reversal of 100112000110020 is 20011000211001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52956970339716 + 47155029770304 = 7277154^2 + 6866952^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 100112000109984 and 100112000110011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278088889015 + ... + 278088889374.

Almost surely, 2^{100112000110020} is an apocalyptic number.

100112000110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112000110020 is an abundant number, since it is smaller than the sum of its proper divisors (203561066890920).

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

100112000110020 is a wasteful number, since it uses less digits than its factorization.

100112000110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556177778404 (or 556177778399 counting only the distinct ones).

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

Adding to 100112000110020 its reverse (20011000211001), we get a palindrome (120123000321021).

The spelling of 100112000110020 in words is "one hundred trillion, one hundred twelve billion, one hundred ten thousand, twenty".