221002102020 has 288 divisors, whose sum is σ = 763199539200. Its totient is φ = 47510136576.

The previous prime is 221002102003. The next prime is 221002102043. The reversal of 221002102020 is 20201200122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221002101987 and 221002102005.

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, 7750309 + ... + 7778771.

It is an arithmetic number, because the mean of its divisors is an integer number (2649998400).

Almost surely, 2^221002102020 is an apocalyptic number.

221002102020 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 221002102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381599769600).

221002102020 is an abundant number, since it is smaller than the sum of its proper divisors (542197437180).

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

221002102020 is a wasteful number, since it uses less digits than its factorization.

221002102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28647 (or 28638 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221002102020 its reverse (20201200122), we get a palindrome (241203302142).

The spelling of 221002102020 in words is "two hundred twenty-one billion, two million, one hundred two thousand, twenty".