421021220100 has 288 divisors, whose sum is σ = 1342747392000. Its totient is φ = 101205711360.

The previous prime is 421021220027. The next prime is 421021220101. The reversal of 421021220100 is 1022120124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 421021220100.

It is not an unprimeable number, because it can be changed into a prime (421021220101) 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 95 ways as a sum of consecutive naturals, for example, 91464399 + ... + 91469001.

Almost surely, 2^421021220100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421021220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671373696000).

421021220100 is an abundant number, since it is smaller than the sum of its proper divisors (921726171900).

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

421021220100 is a wasteful number, since it uses less digits than its factorization.

421021220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 421021220100 its reverse (1022120124), we get a palindrome (422043340224).

The spelling of 421021220100 in words is "four hundred twenty-one billion, twenty-one million, two hundred twenty thousand, one hundred".