2112121022101 has 8 divisors (see below), whose sum is σ = 2203967234304. Its totient is φ = 2020276048560.

The previous prime is 2112121022087. The next prime is 2112121022159. The reversal of 2112121022101 is 1012201212112.

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 2112121022101 - 2¹³ = 2112121013909 is a prime.

It is a super-2 number, since 2×2112121022101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112121022161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5470900 + ... + 5844226.

It is an arithmetic number, because the mean of its divisors is an integer number (275495904288).

Almost surely, 2^{2112121022101} is an apocalyptic number.

It is an amenable number.

2112121022101 is a deficient number, since it is larger than the sum of its proper divisors (91846212203).

2112121022101 is a wasteful number, since it uses less digits than its factorization.

2112121022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619331.

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

Adding to 2112121022101 its reverse (1012201212112), we get a palindrome (3124322234213).

The spelling of 2112121022101 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, twenty-two thousand, one hundred one".