11211110012101 has 16 divisors (see below), whose sum is σ = 11390182323520. Its totient is φ = 11033343383040.

The previous prime is 11211110012071. The next prime is 11211110012131. The reversal of 11211110012101 is 10121001111211.

It is an interprime number because it is at equal distance from previous prime (11211110012071) and next prime (11211110012131).

It is a cyclic number.

It is not a de Polignac number, because 11211110012101 - 2²³ = 11211101623493 is a prime.

It is a super-3 number, since 3×11211110012101³ (a number of 40 digits) contains 333 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 (11211110012131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371965090 + ... + 371995228.

It is an arithmetic number, because the mean of its divisors is an integer number (711886395220).

Almost surely, 2^{11211110012101} is an apocalyptic number.

It is an amenable number.

11211110012101 is a deficient number, since it is larger than the sum of its proper divisors (179072311419).

11211110012101 is a wasteful number, since it uses less digits than its factorization.

11211110012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51604.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11211110012101 its reverse (10121001111211), we get a palindrome (21332111123312).

The spelling of 11211110012101 in words is "eleven trillion, two hundred eleven billion, one hundred ten million, twelve thousand, one hundred one".