2112100100121 has 16 divisors (see below), whose sum is σ = 3072171810240. Its totient is φ = 1280049745920.

The previous prime is 2112100100113. The next prime is 2112100100129. The reversal of 2112100100121 is 1210010012112.

It is an interprime number because it is at equal distance from previous prime (2112100100113) and next prime (2112100100129).

It is not a de Polignac number, because 2112100100121 - 2³ = 2112100100113 is a prime.

It is a super-2 number, since 2×2112100100121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112100100097 and 2112100100106.

It is not an unprimeable number, because it can be changed into a prime (2112100100129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5434341 + ... + 5810013.

It is an arithmetic number, because the mean of its divisors is an integer number (192010738140).

Almost surely, 2^{2112100100121} is an apocalyptic number.

It is an amenable number.

2112100100121 is a deficient number, since it is larger than the sum of its proper divisors (960071710119).

2112100100121 is a wasteful number, since it uses less digits than its factorization.

2112100100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546056.

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

Adding to 2112100100121 its reverse (1210010012112), we get a palindrome (3322110112233).

The spelling of 2112100100121 in words is "two trillion, one hundred twelve billion, one hundred million, one hundred thousand, one hundred twenty-one".