112100100101220 has 384 divisors, whose sum is σ = 393581958561792. Its totient is φ = 23159615385600.

The previous prime is 112100100101173. The next prime is 112100100101243. The reversal of 112100100101220 is 22101001001211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112100100101196 and 112100100101205.

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 127 ways as a sum of consecutive naturals, for example, 4521429144 + ... + 4521453936.

It is an arithmetic number, because the mean of its divisors is an integer number (1024953017088).

Almost surely, 2^{112100100101220} is an apocalyptic number.

112100100101220 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 112100100101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196790979280896).

112100100101220 is an abundant number, since it is smaller than the sum of its proper divisors (281481858460572).

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

112100100101220 is a wasteful number, since it uses less digits than its factorization.

112100100101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30411 (or 30409 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112100100101220 its reverse (22101001001211), we get a palindrome (134201101102431).

The spelling of 112100100101220 in words is "one hundred twelve trillion, one hundred billion, one hundred million, one hundred one thousand, two hundred twenty".