2112121000010 has 64 divisors (see below), whose sum is σ = 4410283272192. Its totient is φ = 713266779456.

The previous prime is 2112120999889. The next prime is 2112121000013. The reversal of 2112121000010 is 100001212112.

It is a super-2 number, since 2×2112121000010² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112120999955 and 2112121000000.

It is not an unprimeable number, because it can be changed into a prime (2112121000013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53366489 + ... + 53406051.

It is an arithmetic number, because the mean of its divisors is an integer number (68910676128).

Almost surely, 2^{2112121000010} is an apocalyptic number.

2112121000010 is an abundant number, since it is smaller than the sum of its proper divisors (2298162272182).

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

2112121000010 is a wasteful number, since it uses less digits than its factorization.

2112121000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51027.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2112121000010 its reverse (100001212112), we get a palindrome (2212122212122).

The spelling of 2112121000010 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, ten", and thus it is an aban number.