2121122101001 has 32 divisors (see below), whose sum is σ = 2227044805920. Its totient is φ = 2018861604864.

The previous prime is 2121122100997. The next prime is 2121122101037. The reversal of 2121122101001 is 1001012211212.

It can be written as a sum of positive squares in 16 ways, for example, as 20793640000 + 2100328461001 = 144200^2 + 1449251^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121122101001 - 2² = 2121122100997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121122101201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57757421 + ... + 57794133.

It is an arithmetic number, because the mean of its divisors is an integer number (69595150185).

Almost surely, 2^{2121122101001} is an apocalyptic number.

It is an amenable number.

2121122101001 is a deficient number, since it is larger than the sum of its proper divisors (105922704919).

2121122101001 is a wasteful number, since it uses less digits than its factorization.

2121122101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37085.

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

Adding to 2121122101001 its reverse (1001012211212), we get a palindrome (3122134312213).

The spelling of 2121122101001 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred one thousand, one".