102211110221220 has 768 divisors, whose sum is σ = 427165769318400. Its totient is φ = 19595101962240.

The previous prime is 102211110221189. The next prime is 102211110221263. The reversal of 102211110221220 is 22122011112201.

102211110221220 is a `hidden beast` number, since 1 + 0 + 2 + 211 + 1 + 10 + 221 + 220 = 666.

It is a super-2 number, since 2×102211110221220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102211110221193 and 102211110221202.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1102114692 + ... + 1102207428.

It is an arithmetic number, because the mean of its divisors is an integer number (556205428800).

Almost surely, 2^{102211110221220} is an apocalyptic number.

102211110221220 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 102211110221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213582884659200).

102211110221220 is an abundant number, since it is smaller than the sum of its proper divisors (324954659097180).

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

102211110221220 is a wasteful number, since it uses less digits than its factorization.

102211110221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94825 (or 94817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102211110221220 its reverse (22122011112201), we get a palindrome (124333121333421).

The spelling of 102211110221220 in words is "one hundred two trillion, two hundred eleven billion, one hundred ten million, two hundred twenty-one thousand, two hundred twenty".