102220020 has 144 divisors (see below), whose sum is σ = 365933568. Its totient is φ = 22602240.

The previous prime is 102220007. The next prime is 102220039. The reversal of 102220020 is 20022201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102219984 and 102220011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37752 + ... + 40368.

Almost surely, 2^102220020 is an apocalyptic number.

102220020 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 102220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182966784).

102220020 is an abundant number, since it is smaller than the sum of its proper divisors (263713548).

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

102220020 is a wasteful number, since it uses less digits than its factorization.

102220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 102220020 is about 10110.3916838073. The cubic root of 102220020 is about 467.5685811672.

Adding to 102220020 its reverse (20022201), we get a palindrome (122242221).

The spelling of 102220020 in words is "one hundred two million, two hundred twenty thousand, twenty".