102221211020 has 96 divisors (see below), whose sum is σ = 225755873280. Its totient is φ = 38831569920.

The previous prime is 102221211011. The next prime is 102221211023. The reversal of 102221211020 is 20112122201.

It is a junction number, because it is equal to n+sod(n) for n = 102221210986 and 102221211004.

It is not an unprimeable number, because it can be changed into a prime (102221211023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8173412 + ... + 8185908.

It is an arithmetic number, because the mean of its divisors is an integer number (2351623680).

Almost surely, 2^102221211020 is an apocalyptic number.

102221211020 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 102221211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112877936640).

102221211020 is an abundant number, since it is smaller than the sum of its proper divisors (123534662260).

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

102221211020 is a wasteful number, since it uses less digits than its factorization.

102221211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12783 (or 12781 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102221211020 its reverse (20112122201), we get a palindrome (122333333221).

The spelling of 102221211020 in words is "one hundred two billion, two hundred twenty-one million, two hundred eleven thousand, twenty".