1020210002112 has 224 divisors, whose sum is σ = 3158194547200. Its totient is φ = 290533340160.

The previous prime is 1020210002087. The next prime is 1020210002171. The reversal of 1020210002112 is 2112000120201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 20192562 + ... + 20243022.

It is an arithmetic number, because the mean of its divisors is an integer number (14099082800).

Almost surely, 2^{1020210002112} is an apocalyptic number.

1020210002112 is a gapful number since it is divisible by the number (12) 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 1020210002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579097273600).

1020210002112 is an abundant number, since it is smaller than the sum of its proper divisors (2137984545088).

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

1020210002112 is an equidigital number, since it uses as much as digits as its factorization.

1020210002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50804 (or 50780 counting only the distinct ones).

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

Adding to 1020210002112 its reverse (2112000120201), we get a palindrome (3132210122313).

The spelling of 1020210002112 in words is "one trillion, twenty billion, two hundred ten million, two thousand, one hundred twelve".