10000211021101 has 8 divisors (see below), whose sum is σ = 11456089001280. Its totient is φ = 8551152142368.

The previous prime is 10000211021077. The next prime is 10000211021117. The reversal of 10000211021101 is 10112011200001.

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

It is a cyclic number.

It is not a de Polignac number, because 10000211021101 - 2²⁷ = 10000076803373 is a prime.

It is a super-4 number, since 4×10000211021101⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000211061101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1704772216 + ... + 1704778081.

It is an arithmetic number, because the mean of its divisors is an integer number (1432011125160).

Almost surely, 2^{10000211021101} is an apocalyptic number.

It is an amenable number.

10000211021101 is a deficient number, since it is larger than the sum of its proper divisors (1455877980179).

10000211021101 is an equidigital number, since it uses as much as digits as its factorization.

10000211021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409550723.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10000211021101 its reverse (10112011200001), we get a palindrome (20112222221102).

The spelling of 10000211021101 in words is "ten trillion, two hundred eleven million, twenty-one thousand, one hundred one".