102011113201200 has 120 divisors (see below), whose sum is σ = 373457827788288. Its totient is φ = 23316825872640.

The previous prime is 102011113201171. The next prime is 102011113201201. The reversal of 102011113201200 is 2102311110201.

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

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 102011113201200.

It is not an unprimeable number, because it can be changed into a prime (102011113201201) 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, 6072081672 + ... + 6072098471.

Almost surely, 2^{102011113201200} is an apocalyptic number.

102011113201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011113201200 is an abundant number, since it is smaller than the sum of its proper divisors (271446714587088).

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

102011113201200 is a wasteful number, since it uses less digits than its factorization.

102011113201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12144180171 (or 12144180160 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102011113201200 its reverse (2102311110201), we get a palindrome (104113424311401).

The spelling of 102011113201200 in words is "one hundred two trillion, eleven billion, one hundred thirteen million, two hundred one thousand, two hundred".