101114141143200 has 288 divisors, whose sum is σ = 334554476518080. Its totient is φ = 26519170867200.

The previous prime is 101114141143117. The next prime is 101114141143201. The reversal of 101114141143200 is 2341141411101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101114141143201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1864962492 + ... + 1865016708.

It is an arithmetic number, because the mean of its divisors is an integer number (1161647487910).

Almost surely, 2^{101114141143200} is an apocalyptic number.

101114141143200 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 101114141143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167277238259040).

101114141143200 is an abundant number, since it is smaller than the sum of its proper divisors (233440335374880).

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

101114141143200 is a wasteful number, since it uses less digits than its factorization.

101114141143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67040 (or 67027 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 101114141143200 its reverse (2341141411101), we get a palindrome (103455282554301).

The spelling of 101114141143200 in words is "one hundred one trillion, one hundred fourteen billion, one hundred forty-one million, one hundred forty-three thousand, two hundred".