102022220202220 has 96 divisors (see below), whose sum is σ = 223679287339200. Its totient is φ = 39038200556544.

The previous prime is 102022220202193. The next prime is 102022220202263. The reversal of 102022220202220 is 22202022220201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1992479139 + ... + 1992530341.

It is an arithmetic number, because the mean of its divisors is an integer number (2329992576450).

Almost surely, 2^{102022220202220} is an apocalyptic number.

102022220202220 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 102022220202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111839643669600).

102022220202220 is an abundant number, since it is smaller than the sum of its proper divisors (121657067136980).

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

102022220202220 is a wasteful number, since it uses less digits than its factorization.

102022220202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82867 (or 82865 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 102022220202220 its reverse (22202022220201), we get a palindrome (124224242422421).

The spelling of 102022220202220 in words is "one hundred two trillion, twenty-two billion, two hundred twenty million, two hundred two thousand, two hundred twenty".