102144001200 has 120 divisors (see below), whose sum is σ = 329699510976. Its totient is φ = 27030432000.

The previous prime is 102144001171. The next prime is 102144001207. The reversal of 102144001200 is 2100441201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×102144001200² (a number of 23 digits) contains 22 as substring.

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 102144001200.

It is not an unprimeable number, because it can be changed into a prime (102144001207) 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, 167686 + ... + 482085.

Almost surely, 2^102144001200 is an apocalyptic number.

102144001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102144001200 is an abundant number, since it is smaller than the sum of its proper divisors (227555509776).

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

102144001200 is a wasteful number, since it uses less digits than its factorization.

102144001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649923 (or 649912 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102144001200 its reverse (2100441201), we get a palindrome (104244442401).

The spelling of 102144001200 in words is "one hundred two billion, one hundred forty-four million, one thousand, two hundred".