102000102000 has 320 divisors, whose sum is σ = 351675312768. Its totient is φ = 25344000000.

The previous prime is 102000101993. The next prime is 102000102041. The reversal of 102000102000 is 201000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 102000102000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10297050 + ... + 10306950.

Almost surely, 2^102000102000 is an apocalyptic number.

102000102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175837656384).

102000102000 is an abundant number, since it is smaller than the sum of its proper divisors (249675210768).

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

102000102000 is a wasteful number, since it uses less digits than its factorization.

102000102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10045 (or 10029 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 102000102000 its reverse (201000201), we get a palindrome (102201102201).

The spelling of 102000102000 in words is "one hundred two billion, one hundred two thousand".