102011113200 has 120 divisors (see below), whose sum is σ = 327746559088. Its totient is φ = 27122135040.

The previous prime is 102011113159. The next prime is 102011113219. The reversal of 102011113200 is 2311110201.

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 (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278274 + ... + 530526.

Almost surely, 2^102011113200 is an apocalyptic number.

102011113200 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 102011113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163873279544).

102011113200 is an abundant number, since it is smaller than the sum of its proper divisors (225735445888).

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

102011113200 is a wasteful number, since it uses less digits than its factorization.

102011113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252611 (or 252600 counting only the distinct ones).

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

Adding to 102011113200 its reverse (2311110201), we get a palindrome (104322223401).

The spelling of 102011113200 in words is "one hundred two billion, eleven million, one hundred thirteen thousand, two hundred".