102001011200 has 240 divisors, whose sum is σ = 284594999040. Its totient is φ = 35893248000.

The previous prime is 102001011173. The next prime is 102001011209. The reversal of 102001011200 is 2110100201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (102001011209) 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, 4353116 + ... + 4376484.

It is an arithmetic number, because the mean of its divisors is an integer number (1185812496).

Almost surely, 2^102001011200 is an apocalyptic number.

102001011200 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 102001011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142297499520).

102001011200 is an abundant number, since it is smaller than the sum of its proper divisors (182593987840).

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

102001011200 is a wasteful number, since it uses less digits than its factorization.

102001011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23439 (or 23418 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102001011200 its reverse (2110100201), we get a palindrome (104111111401).

The spelling of 102001011200 in words is "one hundred two billion, one million, eleven thousand, two hundred".