1001101021211 has 16 divisors (see below), whose sum is σ = 1064171412480. Its totient is φ = 939730857120.

The previous prime is 1001101021183. The next prime is 1001101021213. The reversal of 1001101021211 is 1121201011001.

It is a cyclic number.

It is not a de Polignac number, because 1001101021211 - 2¹⁸ = 1001100759067 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001101021192 and 1001101021201.

It is not an unprimeable number, because it can be changed into a prime (1001101021213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196775 + ... + 1428608.

It is an arithmetic number, because the mean of its divisors is an integer number (66510713280).

Almost surely, 2^{1001101021211} is an apocalyptic number.

1001101021211 is a deficient number, since it is larger than the sum of its proper divisors (63070391269).

1001101021211 is a wasteful number, since it uses less digits than its factorization.

1001101021211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625906.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1001101021211 its reverse (1121201011001), we get a palindrome (2122302032212).

The spelling of 1001101021211 in words is "one trillion, one billion, one hundred one million, twenty-one thousand, two hundred eleven".