11211102100113 has 8 divisors (see below), whose sum is σ = 14948152204128. Its totient is φ = 7474060031424.

The previous prime is 11211102100031. The next prime is 11211102100123. The reversal of 11211102100113 is 31100120111211.

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

It is not a de Polignac number, because 11211102100113 - 2¹⁶ = 11211102034577 is a prime.

It is a super-2 number, since 2×11211102100113² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11211102100092 and 11211102100101.

It is not an unprimeable number, because it can be changed into a prime (11211102100123) 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 7 ways as a sum of consecutive naturals, for example, 3110281 + ... + 5665337.

It is an arithmetic number, because the mean of its divisors is an integer number (1868519025516).

Almost surely, 2^{11211102100113} is an apocalyptic number.

It is an amenable number.

11211102100113 is a deficient number, since it is larger than the sum of its proper divisors (3737050104015).

11211102100113 is a wasteful number, since it uses less digits than its factorization.

11211102100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017663.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 11211102100113 its reverse (31100120111211), we get a palindrome (42311222211324).

It can be divided in two parts, 1121110 and 2100113, that added together give a palindrome (3221223).

The spelling of 11211102100113 in words is "eleven trillion, two hundred eleven billion, one hundred two million, one hundred thousand, one hundred thirteen".