10421120142200 has 96 divisors (see below), whose sum is σ = 24603893218800. Its totient is φ = 4104034851840.

The previous prime is 10421120142163. The next prime is 10421120142203. The reversal of 10421120142200 is 224102112401.

10421120142200 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421120142203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24944636 + ... + 25358964.

Almost surely, 2^{10421120142200} is an apocalyptic number.

10421120142200 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 10421120142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12301946609400).

10421120142200 is an abundant number, since it is smaller than the sum of its proper divisors (14182773076600).

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

10421120142200 is a wasteful number, since it uses less digits than its factorization.

10421120142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416289 (or 416280 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10421120142200 its reverse (224102112401), we get a palindrome (10645222254601).

The spelling of 10421120142200 in words is "ten trillion, four hundred twenty-one billion, one hundred twenty million, one hundred forty-two thousand, two hundred".