1001012022001 has 8 divisors (see below), whose sum is σ = 1028645009000. Its totient is φ = 973409488128.

The previous prime is 1001012021993. The next prime is 1001012022077. The reversal of 1001012022001 is 1002202101001.

It can be written as a sum of positive squares in 4 ways, for example, as 145847610000 + 855164412001 = 381900^2 + 924751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1001012022001 - 2³ = 1001012021993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001012032001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7546626 + ... + 7678123.

It is an arithmetic number, because the mean of its divisors is an integer number (128580626125).

Almost surely, 2^{1001012022001} is an apocalyptic number.

It is an amenable number.

1001012022001 is a deficient number, since it is larger than the sum of its proper divisors (27632986999).

1001012022001 is a wasteful number, since it uses less digits than its factorization.

1001012022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15226563.

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

Adding to 1001012022001 its reverse (1002202101001), we get a palindrome (2003214123002).

The spelling of 1001012022001 in words is "one trillion, one billion, twelve million, twenty-two thousand, one".