102122220 has 96 divisors (see below), whose sum is σ = 296549568. Its totient is φ = 26237952.

The previous prime is 102122219. The next prime is 102122221. The reversal of 102122220 is 22221201.

It is an interprime number because it is at equal distance from previous prime (102122219) and next prime (102122221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102122196 and 102122205.

It is not an unprimeable number, because it can be changed into a prime (102122221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348394 + ... + 348686.

It is an arithmetic number, because the mean of its divisors is an integer number (3089058).

Almost surely, 2^102122220 is an apocalyptic number.

102122220 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 102122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148274784).

102122220 is an abundant number, since it is smaller than the sum of its proper divisors (194427348).

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

102122220 is a wasteful number, since it uses less digits than its factorization.

102122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102122220 is about 10105.5539185143. The cubic root of 102122220 is about 467.4194166538.

Adding to 102122220 its reverse (22221201), we get a palindrome (124343421).

The spelling of 102122220 in words is "one hundred two million, one hundred twenty-two thousand, two hundred twenty".