112121000000001 has 12 divisors (see below), whose sum is σ = 161953093276260. Its totient is φ = 74747085154560.

The previous prime is 112120999999979. The next prime is 112121000000081. The reversal of 112121000000001 is 100000000121211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 39117219149376 + 73003780850625 = 6254376^2 + 8544225^2 .

It is not a de Polignac number, because 112121000000001 - 2⁴³ = 103324906977793 is a prime.

It is a super-2 number, since 2×112121000000001² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112121000000001.

It is not an unprimeable number, because it can be changed into a prime (112121000000081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17799180 + ... + 23260541.

It is an arithmetic number, because the mean of its divisors is an integer number (13496091106355).

Almost surely, 2^{112121000000001} is an apocalyptic number.

It is an amenable number.

112121000000001 is a deficient number, since it is larger than the sum of its proper divisors (49832093276259).

112121000000001 is a wasteful number, since it uses less digits than its factorization.

112121000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41363136 (or 41363133 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112121000000001 its reverse (100000000121211), we get a palindrome (212121000121212).

The spelling of 112121000000001 in words is "one hundred twelve trillion, one hundred twenty-one billion, one", and thus it is an aban number.