101434004322400 has 144 divisors (see below), whose sum is σ = 248828623886304. Its totient is φ = 40376836935680.

The previous prime is 101434004322389. The next prime is 101434004322473. The reversal of 101434004322400 is 4223400434101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200258262 + ... + 200764138.

It is an arithmetic number, because the mean of its divisors is an integer number (1727976554766).

Almost surely, 2^{101434004322400} is an apocalyptic number.

101434004322400 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 101434004322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124414311943152).

101434004322400 is an abundant number, since it is smaller than the sum of its proper divisors (147394619563904).

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

101434004322400 is a wasteful number, since it uses less digits than its factorization.

101434004322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507113 (or 507100 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 101434004322400 its reverse (4223400434101), we get a palindrome (105657404756501).

The spelling of 101434004322400 in words is "one hundred one trillion, four hundred thirty-four billion, four million, three hundred twenty-two thousand, four hundred".