102131220 has 48 divisors (see below), whose sum is σ = 286872768. Its totient is φ = 27148800.

The previous prime is 102131219. The next prime is 102131231. The reversal of 102131220 is 22131201.

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 = 102131196 and 102131205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17695 + ... + 22745.

It is an arithmetic number, because the mean of its divisors is an integer number (5976516).

Almost surely, 2^102131220 is an apocalyptic number.

102131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102131220 is an abundant number, since it is smaller than the sum of its proper divisors (184741548).

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

102131220 is a wasteful number, since it uses less digits than its factorization.

102131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102131220 is about 10105.9992083910. Note that the first 3 decimals coincide. The cubic root of 102131220 is about 467.4331474272.

Adding to 102131220 its reverse (22131201), we get a palindrome (124262421).

The spelling of 102131220 in words is "one hundred two million, one hundred thirty-one thousand, two hundred twenty".