112202331001020 has 144 divisors (see below), whose sum is σ = 376433766639840. Its totient is φ = 26872574888448.

The previous prime is 112202331001009. The next prime is 112202331001037. The reversal of 112202331001020 is 20100133202211.

112202331001020 is a `hidden beast` number, since 11 + 220 + 2 + 331 + 0 + 0 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112202331000984 and 112202331001002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 647882530 + ... + 648055689.

Almost surely, 2^{112202331001020} is an apocalyptic number.

112202331001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112202331001020 is an abundant number, since it is smaller than the sum of its proper divisors (264231435638820).

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

112202331001020 is a wasteful number, since it uses less digits than its factorization.

112202331001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295938284 (or 1295938279 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112202331001020 its reverse (20100133202211), we get a palindrome (132302464203231).

The spelling of 112202331001020 in words is "one hundred twelve trillion, two hundred two billion, three hundred thirty-one million, one thousand, twenty".