221021020202100 has 288 divisors, whose sum is σ = 661676983296000. Its totient is φ = 56902978137600.

The previous prime is 221021020202009. The next prime is 221021020202189. The reversal of 221021020202100 is 1202020120122.

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 221021020202100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6842951751 + ... + 6842984049.

Almost surely, 2^{221021020202100} is an apocalyptic number.

221021020202100 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 221021020202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330838491648000).

221021020202100 is an abundant number, since it is smaller than the sum of its proper divisors (440655963093900).

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

221021020202100 is a wasteful number, since it uses less digits than its factorization.

221021020202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34063 (or 34056 counting only the distinct ones).

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

Adding to 221021020202100 its reverse (1202020120122), we get a palindrome (222223040322222).

The spelling of 221021020202100 in words is "two hundred twenty-one trillion, twenty-one billion, twenty million, two hundred two thousand, one hundred".