1002122012010 has 256 divisors, whose sum is σ = 2970249891840. Its totient is φ = 211265832960.

The previous prime is 1002122011997. The next prime is 1002122012057. The reversal of 1002122012010 is 102102212001.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53692080 + ... + 53710740.

It is an arithmetic number, because the mean of its divisors is an integer number (11602538640).

Almost surely, 2^{1002122012010} is an apocalyptic number.

1002122012010 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 1002122012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485124945920).

1002122012010 is an abundant number, since it is smaller than the sum of its proper divisors (1968127879830).

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

1002122012010 is a wasteful number, since it uses less digits than its factorization.

1002122012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19053.

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

Adding to 1002122012010 its reverse (102102212001), we get a palindrome (1104224224011).

The spelling of 1002122012010 in words is "one trillion, two billion, one hundred twenty-two million, twelve thousand, ten".