102033031200 has 144 divisors (see below), whose sum is σ = 333788011200. Its totient is φ = 27071953920.

The previous prime is 102033031189. The next prime is 102033031201. The reversal of 102033031200 is 2130330201.

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 102033031200.

It is not an unprimeable number, because it can be changed into a prime (102033031201) 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, 370782 + ... + 584418.

It is an arithmetic number, because the mean of its divisors is an integer number (2317972300).

Almost surely, 2^102033031200 is an apocalyptic number.

102033031200 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 102033031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166894005600).

102033031200 is an abundant number, since it is smaller than the sum of its proper divisors (231754980000).

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

102033031200 is a wasteful number, since it uses less digits than its factorization.

102033031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213859 (or 213846 counting only the distinct ones).

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

Adding to 102033031200 its reverse (2130330201), we get a palindrome (104163361401).

It can be divided in two parts, 10203 and 3031200, that added together give a palindrome (3041403).

The spelling of 102033031200 in words is "one hundred two billion, thirty-three million, thirty-one thousand, two hundred".