102221201022220 has 96 divisors (see below), whose sum is σ = 247233332054016. Its totient is φ = 34775554694400.

The previous prime is 102221201022209. The next prime is 102221201022371. The reversal of 102221201022220 is 22220102122201.

102221201022220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102221201022220² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154293994 + ... + 154955086.

It is an arithmetic number, because the mean of its divisors is an integer number (2575347208896).

Almost surely, 2^{102221201022220} is an apocalyptic number.

102221201022220 is a gapful number since it is divisible by the number (10) 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 102221201022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123616666027008).

102221201022220 is an abundant number, since it is smaller than the sum of its proper divisors (145012131031796).

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

102221201022220 is a wasteful number, since it uses less digits than its factorization.

102221201022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669671 (or 669669 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 102221201022220 its reverse (22220102122201), we get a palindrome (124441303144421).

The spelling of 102221201022220 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred one million, twenty-two thousand, two hundred twenty".