10011002211101 has 8 divisors (see below), whose sum is σ = 10049073738144. Its totient is φ = 9972977834160.

The previous prime is 10011002211097. The next prime is 10011002211109. The reversal of 10011002211101 is 10111220011001.

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 10011002211101 - 2² = 10011002211097 is a prime.

It is a super-2 number, since 2×10011002211101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011002211109) 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 7 ways as a sum of consecutive naturals, for example, 11362046 + ... + 12211391.

It is an arithmetic number, because the mean of its divisors is an integer number (1256134217268).

Almost surely, 2^{10011002211101} is an apocalyptic number.

It is an amenable number.

10011002211101 is a deficient number, since it is larger than the sum of its proper divisors (38071527043).

10011002211101 is a wasteful number, since it uses less digits than its factorization.

10011002211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23575051.

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

Adding to 10011002211101 its reverse (10111220011001), we get a palindrome (20122222222102).

The spelling of 10011002211101 in words is "ten trillion, eleven billion, two million, two hundred eleven thousand, one hundred one".