1001102111021 has 16 divisors (see below), whose sum is σ = 1045255106160. Its totient is φ = 957598924800.

The previous prime is 1001102111003. The next prime is 1001102111047. The reversal of 1001102111021 is 1201112011001.

It can be written as a sum of positive squares in 8 ways, for example, as 1779996100 + 999322114921 = 42190^2 + 999661^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001102111021 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001102110993 and 1001102111011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001102191021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7381421 + ... + 7515821.

It is an arithmetic number, because the mean of its divisors is an integer number (65328444135).

Almost surely, 2^{1001102111021} is an apocalyptic number.

It is an amenable number.

1001102111021 is a deficient number, since it is larger than the sum of its proper divisors (44152995139).

1001102111021 is a wasteful number, since it uses less digits than its factorization.

1001102111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136816.

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

Adding to 1001102111021 its reverse (1201112011001), we get a palindrome (2202214122022).

The spelling of 1001102111021 in words is "one trillion, one billion, one hundred two million, one hundred eleven thousand, twenty-one".