11212102112101 has 32 divisors (see below), whose sum is σ = 13004522640000. Its totient is φ = 9559347840000.

The previous prime is 11212102112087. The next prime is 11212102112143. The reversal of 11212102112101 is 10121120121211.

It is a cyclic number.

It is not a de Polignac number, because 11212102112101 - 2²⁷ = 11211967894373 is a prime.

It is a super-2 number, since 2×11212102112101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212102112161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159570025 + ... + 159640273.

It is an arithmetic number, because the mean of its divisors is an integer number (406391332500).

Almost surely, 2^{11212102112101} is an apocalyptic number.

11212102112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11212102112101 is a deficient number, since it is larger than the sum of its proper divisors (1792420527899).

11212102112101 is a wasteful number, since it uses less digits than its factorization.

11212102112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77941.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11212102112101 its reverse (10121120121211), we get a palindrome (21333222233312).

The spelling of 11212102112101 in words is "eleven trillion, two hundred twelve billion, one hundred two million, one hundred twelve thousand, one hundred one".