1101112212101 has 16 divisors (see below), whose sum is σ = 1204042190400. Its totient is φ = 998655254400.

The previous prime is 1101112212089. The next prime is 1101112212113. The reversal of 1101112212101 is 1012122111011.

It is an interprime number because it is at equal distance from previous prime (1101112212089) and next prime (1101112212113).

It is a cyclic number.

It is not a de Polignac number, because 1101112212101 - 2⁶ = 1101112212037 is a prime.

It is a super-2 number, since 2×1101112212101² (a number of 25 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 (1101112212901) 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, 14850761 + ... + 14924721.

It is an arithmetic number, because the mean of its divisors is an integer number (75252636900).

Almost surely, 2^{1101112212101} is an apocalyptic number.

1101112212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101112212101 is a deficient number, since it is larger than the sum of its proper divisors (102929978299).

1101112212101 is a wasteful number, since it uses less digits than its factorization.

1101112212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77140.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1101112212101 its reverse (1012122111011), we get a palindrome (2113234323112).

The spelling of 1101112212101 in words is "one trillion, one hundred one billion, one hundred twelve million, two hundred twelve thousand, one hundred one".