102133201000 has 64 divisors (see below), whose sum is σ = 239123411280. Its totient is φ = 40830764800.

The previous prime is 102133200937. The next prime is 102133201013. The reversal of 102133201000 is 102331201.

It can be written as a sum of positive squares in 8 ways, for example, as 7393592196 + 94739608804 = 85986^2 + 307798^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1849794 + ... + 1904206.

Almost surely, 2^102133201000 is an apocalyptic number.

102133201000 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 102133201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119561705640).

102133201000 is an abundant number, since it is smaller than the sum of its proper divisors (136990210280).

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

102133201000 is a wasteful number, since it uses less digits than its factorization.

102133201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56311 (or 56297 counting only the distinct ones).

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

Adding to 102133201000 its reverse (102331201), we get a palindrome (102235532201).

The spelling of 102133201000 in words is "one hundred two billion, one hundred thirty-three million, two hundred one thousand".