102033320100 has 144 divisors (see below), whose sum is σ = 303412955328. Its totient is φ = 26454504960.

The previous prime is 102033320093. The next prime is 102033320131. The reversal of 102033320100 is 1023330201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102033320100.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22164399 + ... + 22169001.

It is an arithmetic number, because the mean of its divisors is an integer number (2107034412).

Almost surely, 2^102033320100 is an apocalyptic number.

102033320100 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 102033320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151706477664).

102033320100 is an abundant number, since it is smaller than the sum of its proper divisors (201379635228).

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

102033320100 is a wasteful number, since it uses less digits than its factorization.

102033320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6654 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102033320100 its reverse (1023330201), we get a palindrome (103056650301).

The spelling of 102033320100 in words is "one hundred two billion, thirty-three million, three hundred twenty thousand, one hundred".