420133221002100 has 288 divisors, whose sum is σ = 1304917163956224. Its totient is φ = 104121635904000.

The previous prime is 420133221002017. The next prime is 420133221002101. The reversal of 420133221002100 is 1200122331024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420133221002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32090175 + ... + 43244025.

It is an arithmetic number, because the mean of its divisors is an integer number (4530962374848).

Almost surely, 2^{420133221002100} 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 420133221002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652458581978112).

420133221002100 is an abundant number, since it is smaller than the sum of its proper divisors (884783942954124).

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

420133221002100 is a wasteful number, since it uses less digits than its factorization.

420133221002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11154047 (or 11154040 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 420133221002100 its reverse (1200122331024), we get a palindrome (421333343333124).

The spelling of 420133221002100 in words is "four hundred twenty trillion, one hundred thirty-three billion, two hundred twenty-one million, two thousand, one hundred".