201421240100 has 144 divisors (see below), whose sum is σ = 482584945920. Its totient is φ = 72683827200.

The previous prime is 201421240091. The next prime is 201421240103. The reversal of 201421240100 is 1042124102.

201421240100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201421240103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3273620 + ... + 3334580.

Almost surely, 2^201421240100 is an apocalyptic number.

201421240100 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 201421240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241292472960).

201421240100 is an abundant number, since it is smaller than the sum of its proper divisors (281163705820).

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

201421240100 is a wasteful number, since it uses less digits than its factorization.

201421240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61078 (or 61071 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 201421240100 its reverse (1042124102), we get a palindrome (202463364202).

The spelling of 201421240100 in words is "two hundred one billion, four hundred twenty-one million, two hundred forty thousand, one hundred".