112211000100020 has 48 divisors (see below), whose sum is σ = 237211462946640. Its totient is φ = 44585826914304.

The previous prime is 112211000100007. The next prime is 112211000100107. The reversal of 112211000100020 is 20001000112211.

It can be written as a sum of positive squares in 8 ways, for example, as 19059895303696 + 93151104796324 = 4365764^2 + 9651482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112211000099974 and 112211000100010.

It is a congruent number.

It is an unprimeable number.

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, 5962916 + ... + 16123844.

It is an arithmetic number, because the mean of its divisors is an integer number (4941905478055).

Almost surely, 2^{112211000100020} is an apocalyptic number.

112211000100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211000100020 is an abundant number, since it is smaller than the sum of its proper divisors (125000462846620).

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

112211000100020 is a wasteful number, since it uses less digits than its factorization.

112211000100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10164612 (or 10164610 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112211000100020 its reverse (20001000112211), we get a palindrome (132212000212231).

The spelling of 112211000100020 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred thousand, twenty".