2102011102021 has 8 divisors (see below), whose sum is σ = 2175009775200. Its totient is φ = 2029046797680.

The previous prime is 2102011102019. The next prime is 2102011102027. The reversal of 2102011102021 is 1202011102012.

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 2102011102021 - 2¹ = 2102011102019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102011101992 and 2102011102010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102011102027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8467735 + ... + 8712436.

It is an arithmetic number, because the mean of its divisors is an integer number (271876221900).

Almost surely, 2^{2102011102021} is an apocalyptic number.

It is an amenable number.

2102011102021 is a deficient number, since it is larger than the sum of its proper divisors (72998673179).

2102011102021 is a wasteful number, since it uses less digits than its factorization.

2102011102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17184419.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2102011102021 its reverse (1202011102012), we get a palindrome (3304022204033).

Subtracting from 2102011102021 its reverse (1202011102012), we obtain a palindrome (900000000009).

The spelling of 2102011102021 in words is "two trillion, one hundred two billion, eleven million, one hundred two thousand, twenty-one".