1012210002112 has 224 divisors, whose sum is σ = 2176005726720. Its totient is φ = 466255872000.

The previous prime is 1012210002107. The next prime is 1012210002157. The reversal of 1012210002112 is 2112000122101.

1012210002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1012210002092 and 1012210002101.

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, 679791064 + ... + 679792552.

It is an arithmetic number, because the mean of its divisors is an integer number (9714311280).

Almost surely, 2^{1012210002112} 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 1012210002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088002863360).

1012210002112 is an abundant number, since it is smaller than the sum of its proper divisors (1163795724608).

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

1012210002112 is a wasteful number, since it uses less digits than its factorization.

1012210002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012210002112 its reverse (2112000122101), we get a palindrome (3124210124213).

The spelling of 1012210002112 in words is "one trillion, twelve billion, two hundred ten million, two thousand, one hundred twelve".