101112533310400 has 168 divisors, whose sum is σ = 249226970647424. Its totient is φ = 40375648972800.

The previous prime is 101112533310319. The next prime is 101112533310403. The reversal of 101112533310400 is 4013335211101.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112533310403) by changing a digit.

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, 3730663249 + ... + 3730690351.

Almost surely, 2^{101112533310400} is an apocalyptic number.

101112533310400 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 101112533310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124613485323712).

101112533310400 is an abundant number, since it is smaller than the sum of its proper divisors (148114437337024).

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

101112533310400 is a wasteful number, since it uses less digits than its factorization.

101112533310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31039 (or 31024 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 101112533310400 its reverse (4013335211101), we get a palindrome (105125868521501).

The spelling of 101112533310400 in words is "one hundred one trillion, one hundred twelve billion, five hundred thirty-three million, three hundred ten thousand, four hundred".