102033101100 has 72 divisors (see below), whose sum is σ = 337389461248. Its totient is φ = 23321851200.

The previous prime is 102033101089. The next prime is 102033101119. The reversal of 102033101100 is 1101330201.

102033101100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 24291496 + ... + 24295695.

Almost surely, 2^102033101100 is an apocalyptic number.

102033101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102033101100 is an abundant number, since it is smaller than the sum of its proper divisors (235356360148).

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

102033101100 is a wasteful number, since it uses less digits than its factorization.

102033101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48587215 (or 48587208 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 102033101100 its reverse (1101330201), we get a palindrome (103134431301).

The spelling of 102033101100 in words is "one hundred two billion, thirty-three million, one hundred one thousand, one hundred".