1020102210120 has 512 divisors, whose sum is σ = 3840721920000. Its totient is φ = 211341656064.

The previous prime is 1020102210077. The next prime is 1020102210187. The reversal of 1020102210120 is 210122010201.

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 = 1020102210096 and 1020102210105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 173513341 + ... + 173519219.

It is an arithmetic number, because the mean of its divisors is an integer number (7501410000).

Almost surely, 2^{1020102210120} is an apocalyptic number.

1020102210120 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 1020102210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920360960000).

1020102210120 is an abundant number, since it is smaller than the sum of its proper divisors (2820619709880).

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

1020102210120 is a wasteful number, since it uses less digits than its factorization.

1020102210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6365 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020102210120 its reverse (210122010201), we get a palindrome (1230224220321).

The spelling of 1020102210120 in words is "one trillion, twenty billion, one hundred two million, two hundred ten thousand, one hundred twenty".