11100012102101 has 8 divisors (see below), whose sum is σ = 11953886344344. Its totient is φ = 10246141739520.

The previous prime is 11100012102083. The next prime is 11100012102107. The reversal of 11100012102101 is 10120121000111.

It can be written as a sum of positive squares in 4 ways, for example, as 1428565191076 + 9671446911025 = 1195226^2 + 3109895^2 .

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 11100012102101 - 2³⁸ = 10825134195157 is a prime.

It is a super-2 number, since 2×11100012102101² (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 (11100012102107) 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, 8144765 + ... + 9409421.

It is an arithmetic number, because the mean of its divisors is an integer number (1494235793043).

Almost surely, 2^{11100012102101} is an apocalyptic number.

It is an amenable number.

11100012102101 is a deficient number, since it is larger than the sum of its proper divisors (853874242243).

11100012102101 is a wasteful number, since it uses less digits than its factorization.

11100012102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939831.

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

Adding to 11100012102101 its reverse (10120121000111), we get a palindrome (21220133102212).

The spelling of 11100012102101 in words is "eleven trillion, one hundred billion, twelve million, one hundred two thousand, one hundred one".