112120101122010 has 128 divisors (see below), whose sum is σ = 284991963217920. Its totient is φ = 28151013735936.

The previous prime is 112120101121921. The next prime is 112120101122023. The reversal of 112120101122010 is 10221101021211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 623690199 + ... + 623869941.

It is an arithmetic number, because the mean of its divisors is an integer number (2226499712640).

Almost surely, 2^{112120101122010} is an apocalyptic number.

112120101122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112120101122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142495981608960).

112120101122010 is an abundant number, since it is smaller than the sum of its proper divisors (172871862095910).

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

112120101122010 is a wasteful number, since it uses less digits than its factorization.

112120101122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186492.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112120101122010 its reverse (10221101021211), we get a palindrome (122341202143221).

The spelling of 112120101122010 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred one million, one hundred twenty-two thousand, ten".