2101122202121 has 8 divisors (see below), whose sum is σ = 2211768744000. Its totient is φ = 1990481776560.

The previous prime is 2101122202111. The next prime is 2101122202181. The reversal of 2101122202121 is 1212022211012.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101122202121 is a prime.

It is a super-3 number, since 3×2101122202121³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2101122202121.

It is not an unprimeable number, because it can be changed into a prime (2101122202111) 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, 815390 + ... + 2206151.

It is an arithmetic number, because the mean of its divisors is an integer number (276471093000).

Almost surely, 2^{2101122202121} is an apocalyptic number.

It is an amenable number.

2101122202121 is a deficient number, since it is larger than the sum of its proper divisors (110646541879).

2101122202121 is a wasteful number, since it uses less digits than its factorization.

2101122202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058159.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2101122202121 its reverse (1212022211012), we get a palindrome (3313144413133).

The spelling of 2101122202121 in words is "two trillion, one hundred one billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty-one".