10011021001101 has 12 divisors (see below), whose sum is σ = 14460658211740. Its totient is φ = 6673878057600.

The previous prime is 10011021001087. The next prime is 10011021001133. The reversal of 10011021001101 is 10110012011001.

It can be written as a sum of positive squares in 2 ways, for example, as 1619831471076 + 8391189530025 = 1272726^2 + 2896755^2 .

It is not a de Polignac number, because 10011021001101 - 2¹⁹ = 10011020476813 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011021003101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10861186 + ... + 11746803.

Almost surely, 2^{10011021001101} is an apocalyptic number.

It is an amenable number.

10011021001101 is a deficient number, since it is larger than the sum of its proper divisors (4449637210639).

10011021001101 is a wasteful number, since it uses less digits than its factorization.

10011021001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22657196 (or 22657193 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10011021001101 its reverse (10110012011001), we get a palindrome (20121033012102).

The spelling of 10011021001101 in words is "ten trillion, eleven billion, twenty-one million, one thousand, one hundred one".