102100001101200 has 360 divisors, whose sum is σ = 354724522963200. Its totient is φ = 27195246167040.

The previous prime is 102100001101187. The next prime is 102100001101243. The reversal of 102100001101200 is 2101100001201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18841112091 + ... + 18841117509.

It is an arithmetic number, because the mean of its divisors is an integer number (985345897120).

Almost surely, 2^{102100001101200} is an apocalyptic number.

102100001101200 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 102100001101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177362261481600).

102100001101200 is an abundant number, since it is smaller than the sum of its proper divisors (252624521862000).

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

102100001101200 is a wasteful number, since it uses less digits than its factorization.

102100001101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10519 (or 10505 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102100001101200 its reverse (2101100001201), we get a palindrome (104201101102401).

The spelling of 102100001101200 in words is "one hundred two trillion, one hundred billion, one million, one hundred one thousand, two hundred".