101143214000400 has 480 divisors, whose sum is σ = 384406745143680. Its totient is φ = 22409349120000.

The previous prime is 101143214000363. The next prime is 101143214000443. The reversal of 101143214000400 is 4000412341101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14413716 + ... + 20249484.

It is an arithmetic number, because the mean of its divisors is an integer number (800847385716).

Almost surely, 2^{101143214000400} is an apocalyptic number.

101143214000400 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 101143214000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192203372571840).

101143214000400 is an abundant number, since it is smaller than the sum of its proper divisors (283263531143280).

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

101143214000400 is a wasteful number, since it uses less digits than its factorization.

101143214000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835915 (or 5835904 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101143214000400 its reverse (4000412341101), we get a palindrome (105143626341501).

The spelling of 101143214000400 in words is "one hundred one trillion, one hundred forty-three billion, two hundred fourteen million, four hundred", and thus it is an aban number.