103133210101200 has 360 divisors, whose sum is σ = 373897268209920. Its totient is φ = 26294356684800.

The previous prime is 103133210101183. The next prime is 103133210101211. The reversal of 103133210101200 is 2101012331301.

103133210101200 is a `hidden beast` number, since 1 + 0 + 31 + 332 + 1 + 0 + 101 + 200 = 666.

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 (18).

It is a congruent number.

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, 3695736 + ... + 14829864.

Almost surely, 2^{103133210101200} is an apocalyptic number.

103133210101200 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 103133210101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186948634104960).

103133210101200 is an abundant number, since it is smaller than the sum of its proper divisors (270764058108720).

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

103133210101200 is a wasteful number, since it uses less digits than its factorization.

103133210101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11134267 (or 11134253 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103133210101200 its reverse (2101012331301), we get a palindrome (105234222432501).

The spelling of 103133210101200 in words is "one hundred three trillion, one hundred thirty-three billion, two hundred ten million, one hundred one thousand, two hundred".