10101301231200 has 144 divisors (see below), whose sum is σ = 32882204529216. Its totient is φ = 2693478054400.

The previous prime is 10101301231193. The next prime is 10101301231267. The reversal of 10101301231200 is 213210310101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10101301231200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33283339 + ... + 33585461.

It is an arithmetic number, because the mean of its divisors is an integer number (228348642564).

Almost surely, 2^{10101301231200} is an apocalyptic number.

10101301231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101301231200 is an abundant number, since it is smaller than the sum of its proper divisors (22780903298016).

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

10101301231200 is a wasteful number, since it uses less digits than its factorization.

10101301231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316077 (or 316064 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10101301231200 its reverse (213210310101), we get a palindrome (10314511541301).

The spelling of 10101301231200 in words is "ten trillion, one hundred one billion, three hundred one million, two hundred thirty-one thousand, two hundred".