102021121021 has 16 divisors (see below), whose sum is σ = 108427258800. Its totient is φ = 95660467200.

The previous prime is 102021121001. The next prime is 102021121043. The reversal of 102021121021 is 120121120201.

It can be written as a sum of positive squares in 8 ways, for example, as 30057156900 + 71963964121 = 173370^2 + 268261^2 .

It is a cyclic number.

It is not a de Polignac number, because 102021121021 - 2¹¹ = 102021118973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102021120992 and 102021121010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7332171 + ... + 7346071.

It is an arithmetic number, because the mean of its divisors is an integer number (6776703675).

Almost surely, 2^102021121021 is an apocalyptic number.

It is an amenable number.

102021121021 is a deficient number, since it is larger than the sum of its proper divisors (6406137779).

102021121021 is a wasteful number, since it uses less digits than its factorization.

102021121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15504.

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

Adding to 102021121021 its reverse (120121120201), we get a palindrome (222142241222).

The spelling of 102021121021 in words is "one hundred two billion, twenty-one million, one hundred twenty-one thousand, twenty-one".