112020002210100 has 576 divisors, whose sum is σ = 359867841984000. Its totient is φ = 26801466531840.

The previous prime is 112020002210089. The next prime is 112020002210111. The reversal of 112020002210100 is 1012200020211.

It is an interprime number because it is at equal distance from previous prime (112020002210089) and next prime (112020002210111).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 191 ways as a sum of consecutive naturals, for example, 5012293726 + ... + 5012316074.

It is an arithmetic number, because the mean of its divisors is an integer number (624770559000).

Almost surely, 2^{112020002210100} is an apocalyptic number.

112020002210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112020002210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179933920992000).

112020002210100 is an abundant number, since it is smaller than the sum of its proper divisors (247847839773900).

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

112020002210100 is a wasteful number, since it uses less digits than its factorization.

112020002210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23132 (or 23125 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112020002210100 its reverse (1012200020211), we get a palindrome (113032202230311).

The spelling of 112020002210100 in words is "one hundred twelve trillion, twenty billion, two million, two hundred ten thousand, one hundred".