102022202212220 has 96 divisors (see below), whose sum is σ = 220648827071232. Its totient is φ = 39600576000000.

The previous prime is 102022202212207. The next prime is 102022202212241. The reversal of 102022202212220 is 22212202220201.

It is a super-2 number, since 2×102022202212220² (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 = 102022202212192 and 102022202212201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133172270 + ... + 133936170.

It is an arithmetic number, because the mean of its divisors is an integer number (2298425281992).

Almost surely, 2^{102022202212220} is an apocalyptic number.

102022202212220 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 102022202212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110324413535616).

102022202212220 is an abundant number, since it is smaller than the sum of its proper divisors (118626624859012).

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

102022202212220 is a wasteful number, since it uses less digits than its factorization.

102022202212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764823 (or 764821 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102022202212220 its reverse (22212202220201), we get a palindrome (124234404432421).

The spelling of 102022202212220 in words is "one hundred two trillion, twenty-two billion, two hundred two million, two hundred twelve thousand, two hundred twenty".