2100112212121 has 8 divisors (see below), whose sum is σ = 2618321719104. Its totient is φ = 1636451074320.

The previous prime is 2100112212113. The next prime is 2100112212131. The reversal of 2100112212121 is 1212122110012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100112212121 - 2³ = 2100112212113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100112212095 and 2100112212104.

It is not an unprimeable number, because it can be changed into a prime (2100112212131) 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 7 ways as a sum of consecutive naturals, for example, 13637092210 + ... + 13637092363.

It is an arithmetic number, because the mean of its divisors is an integer number (327290214888).

Almost surely, 2^{2100112212121} is an apocalyptic number.

It is an amenable number.

2100112212121 is a deficient number, since it is larger than the sum of its proper divisors (518209506983).

2100112212121 is a wasteful number, since it uses less digits than its factorization.

2100112212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27274184591.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2100112212121 its reverse (1212122110012), we get a palindrome (3312234322133).

The spelling of 2100112212121 in words is "two trillion, one hundred billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty-one".