10121342400 has 378 divisors, whose sum is σ = 38963071680. Its totient is φ = 2490808320.

The previous prime is 10121342381. The next prime is 10121342401. The reversal of 10121342400 is 424312101.

10121342400 is a `hidden beast` number, since 10 + 1 + 213 + 42 + 400 = 666.

10121342400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121342401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2431521 + ... + 2435679.

Almost surely, 2^10121342400 is an apocalyptic number.

10121342400 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 10121342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19481535840).

10121342400 is an abundant number, since it is smaller than the sum of its proper divisors (28841729280).

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

10121342400 is a wasteful number, since it uses less digits than its factorization.

10121342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10121342400 its reverse (424312101), we get a palindrome (10545654501).

The spelling of 10121342400 in words is "ten billion, one hundred twenty-one million, three hundred forty-two thousand, four hundred".