102000313021 has 8 divisors (see below), whose sum is σ = 108597021624. Its totient is φ = 95469903360.

The previous prime is 102000313007. The next prime is 102000313057. The reversal of 102000313021 is 120313000201.

It can be written as a sum of positive squares in 4 ways, for example, as 2703480025 + 99296832996 = 51995^2 + 315114^2 .

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 102000313021 - 2¹³ = 102000304829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102000312992 and 102000313010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000313001) 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 7 ways as a sum of consecutive naturals, for example, 16571560 + ... + 16577713.

It is an arithmetic number, because the mean of its divisors is an integer number (13574627703).

Almost surely, 2^102000313021 is an apocalyptic number.

It is an amenable number.

102000313021 is a deficient number, since it is larger than the sum of its proper divisors (6596708603).

102000313021 is a wasteful number, since it uses less digits than its factorization.

102000313021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33149471.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 102000313021 its reverse (120313000201), we get a palindrome (222313313222).

The spelling of 102000313021 in words is "one hundred two billion, three hundred thirteen thousand, twenty-one".