2121001002021 has 48 divisors (see below), whose sum is σ = 3145009904064. Its totient is φ = 1270389120000.

The previous prime is 2121001002013. The next prime is 2121001002047. The reversal of 2121001002021 is 1202001001212.

It is not a de Polignac number, because 2121001002021 - 2³ = 2121001002013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121001001988 and 2121001002006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121001002721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20001781 + ... + 20107541.

It is an arithmetic number, because the mean of its divisors is an integer number (65521039668).

Almost surely, 2^{2121001002021} is an apocalyptic number.

It is an amenable number.

2121001002021 is a deficient number, since it is larger than the sum of its proper divisors (1024008902043).

2121001002021 is a wasteful number, since it uses less digits than its factorization.

2121001002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106434 (or 106423 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2121001002021 its reverse (1202001001212), we get a palindrome (3323002003233).

It can be divided in two parts, 212100 and 1002021, that added together give a palindrome (1214121).

The spelling of 2121001002021 in words is "two trillion, one hundred twenty-one billion, one million, two thousand, twenty-one".