102002101002 has 48 divisors (see below), whose sum is σ = 226599419592. Its totient is φ = 33141450240.

The previous prime is 102002101001. The next prime is 102002101031. The reversal of 102002101002 is 200101200201.

102002101002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 60255029961 + 41747071041 = 245469^2 + 204321^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102002101001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 762478 + ... + 886214.

Almost surely, 2^102002101002 is an apocalyptic number.

102002101002 is an abundant number, since it is smaller than the sum of its proper divisors (124597318590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102002101002 is a wasteful number, since it uses less digits than its factorization.

102002101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124903 (or 124900 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102002101002 its reverse (200101200201), we get a palindrome (302103301203).

The spelling of 102002101002 in words is "one hundred two billion, two million, one hundred one thousand, two".