3100010101200 has 180 divisors, whose sum is σ = 10784204211820. Its totient is φ = 824647772160.

The previous prime is 3100010101157. The next prime is 3100010101271. The reversal of 3100010101200 is 21010100013.

It can be written as a sum of positive squares in 6 ways, for example, as 203505645456 + 2896504455744 = 451116^2 + 1701912^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3100010101200² (a number of 26 digits) contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 419694 + ... + 2525106.

Almost surely, 2^{3100010101200} is an apocalyptic number.

3100010101200 is a gapful number since it is divisible by the number (30) 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 3100010101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392102105910).

3100010101200 is an abundant number, since it is smaller than the sum of its proper divisors (7684194110620).

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

3100010101200 is a wasteful number, since it uses less digits than its factorization.

3100010101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105846 (or 2105832 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 3100010101200 its reverse (21010100013), we get a palindrome (3121020201213).

The spelling of 3100010101200 in words is "three trillion, one hundred billion, ten million, one hundred one thousand, two hundred".