1020210102120 has 256 divisors, whose sum is σ = 3374766581760. Its totient is φ = 244668800000.

The previous prime is 1020210102101. The next prime is 1020210102139. The reversal of 1020210102120 is 212010120201.

It is an interprime number because it is at equal distance from previous prime (1020210102101) and next prime (1020210102139).

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 = 1020210102096 and 1020210102105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209443285 + ... + 209448155.

It is an arithmetic number, because the mean of its divisors is an integer number (13182681960).

Almost surely, 2^{1020210102120} is an apocalyptic number.

1020210102120 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 1020210102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687383290880).

1020210102120 is an abundant number, since it is smaller than the sum of its proper divisors (2354556479640).

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

1020210102120 is a wasteful number, since it uses less digits than its factorization.

1020210102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568 (or 6564 counting only the distinct ones).

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

Adding to 1020210102120 its reverse (212010120201), we get a palindrome (1232220222321).

The spelling of 1020210102120 in words is "one trillion, twenty billion, two hundred ten million, one hundred two thousand, one hundred twenty".