102120020 has 48 divisors (see below), whose sum is σ = 234919440. Its totient is φ = 37115904.

The previous prime is 102120017. The next prime is 102120043. The reversal of 102120020 is 20021201.

It can be written as a sum of positive squares in 8 ways, for example, as 795664 + 101324356 = 892^2 + 10066^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4682 + ... + 15038.

It is an arithmetic number, because the mean of its divisors is an integer number (4894155).

Almost surely, 2^102120020 is an apocalyptic number.

102120020 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 102120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117459720).

102120020 is an abundant number, since it is smaller than the sum of its proper divisors (132799420).

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

102120020 is a wasteful number, since it uses less digits than its factorization.

102120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10412 (or 10410 counting only the distinct ones).

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

The square root of 102120020 is about 10105.4450668934. The cubic root of 102120020 is about 467.4160601199.

Adding to 102120020 its reverse (20021201), we get a palindrome (122141221).

The spelling of 102120020 in words is "one hundred two million, one hundred twenty thousand, twenty".