1020102120 has 128 divisors (see below), whose sum is σ = 3510144000. Its totient is φ = 263243520.

The previous prime is 1020102107. The next prime is 1020102157. The reversal of 1020102120 is 212010201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18246 + ... + 48714.

It is an arithmetic number, because the mean of its divisors is an integer number (27423000).

Almost surely, 2^1020102120 is an apocalyptic number.

1020102120 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 1020102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755072000).

1020102120 is an abundant number, since it is smaller than the sum of its proper divisors (2490041880).

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

1020102120 is a wasteful number, since it uses less digits than its factorization.

1020102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30520 (or 30510 counting only the distinct ones).

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

The square root of 1020102120 is about 31939.0375559440. The cubic root of 1020102120 is about 1006.6563020048.

Adding to 1020102120 its reverse (212010201), we get a palindrome (1232112321).

The spelling of 1020102120 in words is "one billion, twenty million, one hundred two thousand, one hundred twenty".