112011010101000 has 192 divisors, whose sum is σ = 381947635433520. Its totient is φ = 29605269657600.

The previous prime is 112011010100999. The next prime is 112011010101007. The reversal of 112011010101000 is 101010110211.

It can be written as a sum of positive squares in 8 ways, for example, as 19749260432196 + 92261749668804 = 4444014^2 + 9605298^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112011010101007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54052327 + ... + 56086326.

Almost surely, 2^{112011010101000} is an apocalyptic number.

112011010101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112011010101000 is an abundant number, since it is smaller than the sum of its proper divisors (269936625332520).

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

112011010101000 is a wasteful number, since it uses less digits than its factorization.

112011010101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110138793 (or 110138776 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 112011010101000 its reverse (101010110211), we get a palindrome (112112020211211).

The spelling of 112011010101000 in words is "one hundred twelve trillion, eleven billion, ten million, one hundred one thousand".