1022001001012 has 96 divisors (see below), whose sum is σ = 1915755599520. Its totient is φ = 476121784320.

The previous prime is 1022001000959. The next prime is 1022001001019. The reversal of 1022001001012 is 2101001002201.

It can be written as a sum of positive squares in 16 ways, for example, as 240184287396 + 781816713616 = 490086^2 + 884204^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1022001001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022001001019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512794288 + ... + 512796280.

It is an arithmetic number, because the mean of its divisors is an integer number (19955787495).

Almost surely, 2^{1022001001012} is an apocalyptic number.

It is an amenable number.

1022001001012 is a deficient number, since it is larger than the sum of its proper divisors (893754598508).

1022001001012 is a wasteful number, since it uses less digits than its factorization.

1022001001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1022001001012 its reverse (2101001002201), we get a palindrome (3123002003213).

The spelling of 1022001001012 in words is "one trillion, twenty-two billion, one million, one thousand, twelve".