2100112012121 has 8 divisors (see below), whose sum is σ = 2223859957704. Its totient is φ = 1976387616000.

The previous prime is 2100112012079. The next prime is 2100112012127. The reversal of 2100112012121 is 1212102110012.

It can be written as a sum of positive squares in 4 ways, for example, as 9589305625 + 2090522706496 = 97925^2 + 1445864^2 .

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 2100112012121 - 2⁶ = 2100112012057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100112012096 and 2100112012105.

It is not an unprimeable number, because it can be changed into a prime (2100112012127) 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 7 ways as a sum of consecutive naturals, for example, 5703590 + ... + 6060623.

It is an arithmetic number, because the mean of its divisors is an integer number (277982494713).

Almost surely, 2^{2100112012121} is an apocalyptic number.

It is an amenable number.

2100112012121 is a deficient number, since it is larger than the sum of its proper divisors (123747945583).

2100112012121 is a wasteful number, since it uses less digits than its factorization.

2100112012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11774731.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2100112012121 its reverse (1212102110012), we get a palindrome (3312214122133).

The spelling of 2100112012121 in words is "two trillion, one hundred billion, one hundred twelve million, twelve thousand, one hundred twenty-one".