20100243310400 has 336 divisors, whose sum is σ = 55985155179072. Its totient is φ = 7038296064000.

The previous prime is 20100243310397. The next prime is 20100243310457. The reversal of 20100243310400 is 401334200102.

It is a super-2 number, since 2×20100243310400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 63007295 + ... + 63325505.

It is an arithmetic number, because the mean of its divisors is an integer number (166622485652).

Almost surely, 2^{20100243310400} is an apocalyptic number.

20100243310400 is a gapful number since it is divisible by the number (20) 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 20100243310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27992577589536).

20100243310400 is an abundant number, since it is smaller than the sum of its proper divisors (35884911868672).

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

20100243310400 is a wasteful number, since it uses less digits than its factorization.

20100243310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318378 (or 318363 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20100243310400 its reverse (401334200102), we get a palindrome (20501577510502).

The spelling of 20100243310400 in words is "twenty trillion, one hundred billion, two hundred forty-three million, three hundred ten thousand, four hundred".