102122712 has 48 divisors (see below), whose sum is σ = 277194840. Its totient is φ = 33965568.

The previous prime is 102122707. The next prime is 102122719. The reversal of 102122712 is 217221201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122719) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 38088 + ... + 40680.

Almost surely, 2^102122712 is an apocalyptic number.

102122712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102122712 is an abundant number, since it is smaller than the sum of its proper divisors (175072128).

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

102122712 is a wasteful number, since it uses less digits than its factorization.

102122712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 102122712 is about 10105.5782615346. The cubic root of 102122712 is about 467.4201672903.

Adding to 102122712 its reverse (217221201), we get a palindrome (319343913).

The spelling of 102122712 in words is "one hundred two million, one hundred twenty-two thousand, seven hundred twelve".