11212111022101 has 16 divisors (see below), whose sum is σ = 12238977719808. Its totient is φ = 10186510196800.

The previous prime is 11212111022093. The next prime is 11212111022107. The reversal of 11212111022101 is 10122011121211.

It is a cyclic number.

It is not a de Polignac number, because 11212111022101 - 2³ = 11212111022093 is a prime.

It is a super-2 number, since 2×11212111022101² (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 (11212111022107) 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 15 ways as a sum of consecutive naturals, for example, 128011215 + ... + 128098771.

It is an arithmetic number, because the mean of its divisors is an integer number (764936107488).

Almost surely, 2^{11212111022101} is an apocalyptic number.

11212111022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11212111022101 is a deficient number, since it is larger than the sum of its proper divisors (1026866697707).

11212111022101 is a wasteful number, since it uses less digits than its factorization.

11212111022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94652.

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

Adding to 11212111022101 its reverse (10122011121211), we get a palindrome (21334122143312).

The spelling of 11212111022101 in words is "eleven trillion, two hundred twelve billion, one hundred eleven million, twenty-two thousand, one hundred one".