102001140400 has 60 divisors (see below), whose sum is σ = 245120686272. Its totient is φ = 40789976320.

The previous prime is 102001140389. The next prime is 102001140401. The reversal of 102001140400 is 4041100201.

102001140400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102001140401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1632129 + ... + 1693471.

Almost surely, 2^102001140400 is an apocalyptic number.

102001140400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001140400 is an abundant number, since it is smaller than the sum of its proper divisors (143119545872).

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

102001140400 is a wasteful number, since it uses less digits than its factorization.

102001140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65518 (or 65507 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102001140400 its reverse (4041100201), we get a palindrome (106042240601).

The spelling of 102001140400 in words is "one hundred two billion, one million, one hundred forty thousand, four hundred".