102040100400 has 480 divisors, whose sum is σ = 398014525440. Its totient is φ = 21826851840.

The previous prime is 102040100377. The next prime is 102040100401. The reversal of 102040100400 is 4001040201.

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

It is not an unprimeable number, because it can be changed into a prime (102040100401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13242949 + ... + 13250651.

It is an arithmetic number, because the mean of its divisors is an integer number (829196928).

Almost surely, 2^102040100400 is an apocalyptic number.

102040100400 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 102040100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199007262720).

102040100400 is an abundant number, since it is smaller than the sum of its proper divisors (295974425040).

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

102040100400 is a wasteful number, since it uses less digits than its factorization.

102040100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7833 (or 7822 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102040100400 its reverse (4001040201), we get a palindrome (106041140601).

The spelling of 102040100400 in words is "one hundred two billion, forty million, one hundred thousand, four hundred".