1012122002010 has 128 divisors (see below), whose sum is σ = 2876890867200. Its totient is φ = 222971535360.

The previous prime is 1012122001999. The next prime is 1012122002027. The reversal of 1012122002010 is 102002212101.

1012122002010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3319170 + ... + 3611250.

It is an arithmetic number, because the mean of its divisors is an integer number (22475709900).

Almost surely, 2^{1012122002010} is an apocalyptic number.

1012122002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012122002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438445433600).

1012122002010 is an abundant number, since it is smaller than the sum of its proper divisors (1864768865190).

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

1012122002010 is a wasteful number, since it uses less digits than its factorization.

1012122002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292696.

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

Adding to 1012122002010 its reverse (102002212101), we get a palindrome (1114124214111).

The spelling of 1012122002010 in words is "one trillion, twelve billion, one hundred twenty-two million, two thousand, ten".