102212101222220 has 96 divisors (see below), whose sum is σ = 238931234982720. Its totient is φ = 36412564930560.

The previous prime is 102212101222151. The next prime is 102212101222237. The reversal of 102212101222220 is 22222101212201.

102212101222220 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 2×102212101222220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102212101222192 and 102212101222201.

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, 1334516 + ... + 14359844.

It is an arithmetic number, because the mean of its divisors is an integer number (2488867031070).

Almost surely, 2^{102212101222220} is an apocalyptic number.

102212101222220 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 102212101222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119465617491360).

102212101222220 is an abundant number, since it is smaller than the sum of its proper divisors (136719133760500).

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

102212101222220 is a wasteful number, since it uses less digits than its factorization.

102212101222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13026075 (or 13026073 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102212101222220 its reverse (22222101212201), we get a palindrome (124434202434421).

The spelling of 102212101222220 in words is "one hundred two trillion, two hundred twelve billion, one hundred one million, two hundred twenty-two thousand, two hundred twenty".