2121112001021 has 16 divisors (see below), whose sum is σ = 2307463245360. Its totient is φ = 1938083059200.

The previous prime is 2121112001017. The next prime is 2121112001069. The reversal of 2121112001021 is 1201002111212.

It can be written as a sum of positive squares in 8 ways, for example, as 2372664100 + 2118739336921 = 48710^2 + 1455589^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121112001021 - 2² = 2121112001017 is a prime.

It is a super-4 number, since 4×2121112001021⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2121112000987 and 2121112001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121112001081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5149535 + ... + 5546163.

It is an arithmetic number, because the mean of its divisors is an integer number (144216452835).

Almost surely, 2^{2121112001021} is an apocalyptic number.

It is an amenable number.

2121112001021 is a deficient number, since it is larger than the sum of its proper divisors (186351244339).

2121112001021 is a wasteful number, since it uses less digits than its factorization.

2121112001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400816.

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

Adding to 2121112001021 its reverse (1201002111212), we get a palindrome (3322114112233).

The spelling of 2121112001021 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, one thousand, twenty-one".