2121121111122 has 96 divisors (see below), whose sum is σ = 5306752039680. Its totient is φ = 606485767680.

The previous prime is 2121121111103. The next prime is 2121121111141. The reversal of 2121121111122 is 2211111211212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2121121111103) and next prime (2121121111141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2121121111095 and 2121121111104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3060504 + ... + 3689027.

It is an arithmetic number, because the mean of its divisors is an integer number (55278667080).

Almost surely, 2^{2121121111122} is an apocalyptic number.

2121121111122 is an abundant number, since it is smaller than the sum of its proper divisors (3185630928558).

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

2121121111122 is a wasteful number, since it uses less digits than its factorization.

2121121111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6749648 (or 6749645 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 2121121111122 its reverse (2211111211212), we get a palindrome (4332232322334).

The spelling of 2121121111122 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty-two".