10011102101 has 48 divisors (see below), whose sum is σ = 13598737152. Its totient is φ = 7171338240.

The previous prime is 10011102083. The next prime is 10011102113. The reversal of 10011102101 is 10120111001.

It is a happy number.

10011102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011102101 - 2²⁶ = 9943993237 is a prime.

It is a super-2 number, since 2×10011102101² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011102161) 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 47 ways as a sum of consecutive naturals, for example, 2894165 + ... + 2897621.

It is an arithmetic number, because the mean of its divisors is an integer number (283307024).

Almost surely, 2^10011102101 is an apocalyptic number.

10011102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011102101 is a deficient number, since it is larger than the sum of its proper divisors (3587635051).

10011102101 is a wasteful number, since it uses less digits than its factorization.

10011102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10011102101 its reverse (10120111001), we get a palindrome (20131213102).

The spelling of 10011102101 in words is "ten billion, eleven million, one hundred two thousand, one hundred one".