101412310311200 has 576 divisors, whose sum is σ = 294195580277760. Its totient is φ = 33415151616000.

The previous prime is 101412310311197. The next prime is 101412310311259. The reversal of 101412310311200 is 2113013214101.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 95 ways as a sum of consecutive naturals, for example, 5537713244 + ... + 5537731556.

It is an arithmetic number, because the mean of its divisors is an integer number (510756215760).

Almost surely, 2^{101412310311200} is an apocalyptic number.

101412310311200 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 101412310311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147097790138880).

101412310311200 is an abundant number, since it is smaller than the sum of its proper divisors (192783269966560).

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

101412310311200 is a wasteful number, since it uses less digits than its factorization.

101412310311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18741 (or 18728 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101412310311200 its reverse (2113013214101), we get a palindrome (103525323525301).

The spelling of 101412310311200 in words is "one hundred one trillion, four hundred twelve billion, three hundred ten million, three hundred eleven thousand, two hundred".