102120112021 has 24 divisors (see below), whose sum is σ = 109984088520. Its totient is φ = 94786560000.

The previous prime is 102120112019. The next prime is 102120112043. The reversal of 102120112021 is 120211021201.

It can be written as a sum of positive squares in 12 ways, for example, as 13465049521 + 88655062500 = 116039^2 + 297750^2 .

It is not a de Polignac number, because 102120112021 - 2¹ = 102120112019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102120111992 and 102120112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120112091) 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 23 ways as a sum of consecutive naturals, for example, 10309171 + ... + 10319071.

It is an arithmetic number, because the mean of its divisors is an integer number (4582670355).

Almost surely, 2^102120112021 is an apocalyptic number.

It is an amenable number.

102120112021 is a deficient number, since it is larger than the sum of its proper divisors (7863976499).

102120112021 is an equidigital number, since it uses as much as digits as its factorization.

102120112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10425 (or 10408 counting only the distinct ones).

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

Adding to 102120112021 its reverse (120211021201), we get a palindrome (222331133222).

It can be divided in two parts, 1021201 and 12021, that multiplied together give a palindrome (12275857221).

The spelling of 102120112021 in words is "one hundred two billion, one hundred twenty million, one hundred twelve thousand, twenty-one".