102020041200 has 240 divisors, whose sum is σ = 407444564736. Its totient is φ = 21198950400.

The previous prime is 102020041129. The next prime is 102020041217. The reversal of 102020041200 is 2140020201.

102020041200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459657 + ... + 644456.

Almost surely, 2^102020041200 is an apocalyptic number.

102020041200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020041200 is an abundant number, since it is smaller than the sum of its proper divisors (305424523536).

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

102020041200 is a wasteful number, since it uses less digits than its factorization.

102020041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104152 (or 1104141 counting only the distinct ones).

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

Adding to 102020041200 its reverse (2140020201), we get a palindrome (104160061401).

The spelling of 102020041200 in words is "one hundred two billion, twenty million, forty-one thousand, two hundred".