102210120 has 256 divisors, whose sum is σ = 381024000. Its totient is φ = 24219648.

The previous prime is 102210107. The next prime is 102210127. The reversal of 102210120 is 21012201.

It is a super-3 number, since 3×102210120³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348694 + ... + 348986.

It is an arithmetic number, because the mean of its divisors is an integer number (1488375).

Almost surely, 2^102210120 is an apocalyptic number.

102210120 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 102210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

102210120 is an abundant number, since it is smaller than the sum of its proper divisors (278813880).

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

102210120 is a wasteful number, since it uses less digits than its factorization.

102210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102210120 is about 10109.9020766771. The cubic root of 102210120 is about 467.5534860212.

Adding to 102210120 its reverse (21012201), we get a palindrome (123222321).

It can be divided in two parts, 1022101 and 20, that added together give a square (1022121 = 1011²).

The spelling of 102210120 in words is "one hundred two million, two hundred ten thousand, one hundred twenty".