112201000100020 has 48 divisors (see below), whose sum is σ = 253823102260560. Its totient is φ = 41415616659456.

The previous prime is 112201000099961. The next prime is 112201000100023. The reversal of 112201000100020 is 20001000102211.

It can be written as a sum of positive squares in 8 ways, for example, as 1089710507664 + 111111289592356 = 1043892^2 + 10540934^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112201000100023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63950067 + ... + 65681146.

It is an arithmetic number, because the mean of its divisors is an integer number (5287981297095).

Almost surely, 2^{112201000100020} is an apocalyptic number.

112201000100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112201000100020 is an abundant number, since it is smaller than the sum of its proper divisors (141622102160540).

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

112201000100020 is a wasteful number, since it uses less digits than its factorization.

112201000100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129634564 (or 129634562 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112201000100020 its reverse (20001000102211), we get a palindrome (132202000202231).

The spelling of 112201000100020 in words is "one hundred twelve trillion, two hundred one billion, one hundred thousand, twenty".