2112101210121 has 12 divisors (see below), whose sum is σ = 3275912081232. Its totient is φ = 1206914977128.

The previous prime is 2112101210117. The next prime is 2112101210159. The reversal of 2112101210121 is 1210121012112.

It is a happy number.

It is not a de Polignac number, because 2112101210121 - 2² = 2112101210117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2112101210121.

It is not an unprimeable number, because it can be changed into a prime (2112101210171) 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 11 ways as a sum of consecutive naturals, for example, 7184017575 + ... + 7184017868.

It is an arithmetic number, because the mean of its divisors is an integer number (272992673436).

Almost surely, 2^{2112101210121} is an apocalyptic number.

2112101210121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112101210121 is a deficient number, since it is larger than the sum of its proper divisors (1163810871111).

2112101210121 is a wasteful number, since it uses less digits than its factorization.

2112101210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14368035460 (or 14368035453 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2112101210121 its reverse (1210121012112), we get a palindrome (3322222222233).

The spelling of 2112101210121 in words is "two trillion, one hundred twelve billion, one hundred one million, two hundred ten thousand, one hundred twenty-one".