112121000012010 has 192 divisors, whose sum is σ = 314426900511360. Its totient is φ = 25495322688000.

The previous prime is 112121000011981. The next prime is 112121000012027. The reversal of 112121000012010 is 10210000121211.

It is a super-2 number, since 2×112121000012010² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1081797 + ... + 15013736.

It is an arithmetic number, because the mean of its divisors is an integer number (1637640106830).

Almost surely, 2^{112121000012010} is an apocalyptic number.

112121000012010 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 112121000012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157213450255680).

112121000012010 is an abundant number, since it is smaller than the sum of its proper divisors (202305900499350).

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

112121000012010 is a wasteful number, since it uses less digits than its factorization.

112121000012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16095685 (or 16095674 counting only the distinct ones).

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

Adding to 112121000012010 its reverse (10210000121211), we get a palindrome (122331000133221).

The spelling of 112121000012010 in words is "one hundred twelve trillion, one hundred twenty-one billion, twelve thousand, ten".