102030201100 has 72 divisors (see below), whose sum is σ = 231341005728. Its totient is φ = 38985408000.

The previous prime is 102030201059. The next prime is 102030201101. The reversal of 102030201100 is 1102030201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102030201101) by changing a digit.

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, 1711800 + ... + 1770400.

It is an arithmetic number, because the mean of its divisors is an integer number (3213069524).

Almost surely, 2^102030201100 is an apocalyptic number.

102030201100 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 102030201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115670502864).

102030201100 is an abundant number, since it is smaller than the sum of its proper divisors (129310804628).

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

102030201100 is a wasteful number, since it uses less digits than its factorization.

102030201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59395 (or 59388 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 102030201100 its reverse (1102030201), we get a palindrome (103132231301).

The spelling of 102030201100 in words is "one hundred two billion, thirty million, two hundred one thousand, one hundred".