102010201021 has 4 divisors (see below), whose sum is σ = 102053778844. Its totient is φ = 101966623200.

The previous prime is 102010201019. The next prime is 102010201049. The reversal of 102010201021 is 120102010201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 77949848025 + 24060352996 = 279195^2 + 155114^2 .

It is a cyclic number.

It is not a de Polignac number, because 102010201021 - 2¹ = 102010201019 is a prime.

It is a super-3 number, since 3×102010201021³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102010200989 and 102010201007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010201421) 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 3 ways as a sum of consecutive naturals, for example, 21785400 + ... + 21790081.

It is an arithmetic number, because the mean of its divisors is an integer number (25513444711).

Almost surely, 2^102010201021 is an apocalyptic number.

It is an amenable number.

102010201021 is a deficient number, since it is larger than the sum of its proper divisors (43577823).

102010201021 is an equidigital number, since it uses as much as digits as its factorization.

102010201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43577822.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102010201021 its reverse (120102010201), we get a palindrome (222112211222).

It can be divided in two parts, 102010 and 201021, that added together give a triangular number (303031 = T₇₇₈).

The spelling of 102010201021 in words is "one hundred two billion, ten million, two hundred one thousand, twenty-one".