100112110220020 has 12 divisors (see below), whose sum is σ = 210235431462084. Its totient is φ = 40044844088000.

The previous prime is 100112110220009. The next prime is 100112110220047. The reversal of 100112110220020 is 20022011211001.

It can be written as a sum of positive squares in 2 ways, for example, as 19193125952016 + 80918984268004 = 4380996^2 + 8995498^2 .

It is a super-2 number, since 2×100112110220020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2502802755481 + ... + 2502802755520.

It is an arithmetic number, because the mean of its divisors is an integer number (17519619288507).

Almost surely, 2^{100112110220020} is an apocalyptic number.

100112110220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112110220020 is an abundant number, since it is smaller than the sum of its proper divisors (110123321242064).

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

100112110220020 is a wasteful number, since it uses less digits than its factorization.

100112110220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005605511010 (or 5005605511008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100112110220020 its reverse (20022011211001), we get a palindrome (120134121431021).

The spelling of 100112110220020 in words is "one hundred trillion, one hundred twelve billion, one hundred ten million, two hundred twenty thousand, twenty".