1020210010112 has 96 divisors (see below), whose sum is σ = 2190343952160. Its totient is φ = 473335726080.

The previous prime is 1020210010093. The next prime is 1020210010121. The reversal of 1020210010112 is 2110100120201.

It is a junction number, because it is equal to n+sod(n) for n = 1020210010093 and 1020210010102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2265578 + ... + 2678294.

It is an arithmetic number, because the mean of its divisors is an integer number (22816082835).

Almost surely, 2^{1020210010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020210010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095171976080).

1020210010112 is an abundant number, since it is smaller than the sum of its proper divisors (1170133942048).

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

1020210010112 is an equidigital number, since it uses as much as digits as its factorization.

1020210010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412827 (or 412807 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1020210010112 its reverse (2110100120201), we get a palindrome (3130310130313).

The spelling of 1020210010112 in words is "one trillion, twenty billion, two hundred ten million, ten thousand, one hundred twelve".