1001002211001 has 64 divisors (see below), whose sum is σ = 1631668899840. Its totient is φ = 602655163200.

The previous prime is 1001002210981. The next prime is 1001002211039. The reversal of 1001002211001 is 1001122001001.

It is a happy number.

It is not a de Polignac number, because 1001002211001 - 2¹⁵ = 1001002178233 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1001002211071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47022306 + ... + 47043588.

It is an arithmetic number, because the mean of its divisors is an integer number (25494826560).

Almost surely, 2^{1001002211001} is an apocalyptic number.

It is an amenable number.

1001002211001 is a deficient number, since it is larger than the sum of its proper divisors (630666688839).

1001002211001 is a wasteful number, since it uses less digits than its factorization.

1001002211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24203 (or 24197 counting only the distinct ones).

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

Adding to 1001002211001 its reverse (1001122001001), we get a palindrome (2002124212002).

The spelling of 1001002211001 in words is "one trillion, one billion, two million, two hundred eleven thousand, one".