1001021012192 has 72 divisors (see below), whose sum is σ = 2061828598536. Its totient is φ = 478363947776.

The previous prime is 1001021012141. The next prime is 1001021012207. The reversal of 1001021012192 is 2912101201001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21593903 + ... + 21640209.

It is an arithmetic number, because the mean of its divisors is an integer number (28636508313).

Almost surely, 2^{1001021012192} 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 1001021012192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030914299268).

1001021012192 is an abundant number, since it is smaller than the sum of its proper divisors (1060807586344).

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

1001021012192 is a wasteful number, since it uses less digits than its factorization.

1001021012192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47640 (or 47609 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 1001021012192 its reverse (2912101201001), we get a palindrome (3913122213193).

The spelling of 1001021012192 in words is "one trillion, one billion, twenty-one million, twelve thousand, one hundred ninety-two".