102202120 has 32 divisors (see below), whose sum is σ = 232113600. Its totient is φ = 40497088.

The previous prime is 102202091. The next prime is 102202123. The reversal of 102202120 is 21202201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102202097 and 102202106.

It is not an unprimeable number, because it can be changed into a prime (102202123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7660 + ... + 16219.

It is an arithmetic number, because the mean of its divisors is an integer number (7253550).

Almost surely, 2^102202120 is an apocalyptic number.

102202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202120 is an abundant number, since it is smaller than the sum of its proper divisors (129911480).

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

102202120 is a wasteful number, since it uses less digits than its factorization.

102202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23997 (or 23993 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 102202120 is about 10109.5064172293. The cubic root of 102202120 is about 467.5412872112.

Adding to 102202120 its reverse (21202201), we get a palindrome (123404321).

The spelling of 102202120 in words is "one hundred two million, two hundred two thousand, one hundred twenty".