1001021010012 has 144 divisors (see below), whose sum is σ = 2592181423104. Its totient is φ = 325613520000.

The previous prime is 1001021009983. The next prime is 1001021010043. The reversal of 1001021010012 is 2100101201001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001021009976 and 1001021010003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361769853 + ... + 361772619.

Almost surely, 2^{1001021010012} is an apocalyptic number.

1001021010012 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 1001021010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296090711552).

1001021010012 is an abundant number, since it is smaller than the sum of its proper divisors (1591160413092).

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

1001021010012 is a wasteful number, since it uses less digits than its factorization.

1001021010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001021010012 its reverse (2100101201001), we get a palindrome (3101122211013).

The spelling of 1001021010012 in words is "one trillion, one billion, twenty-one million, ten thousand, twelve".