101121101011112 has 128 divisors (see below), whose sum is σ = 235682505273600. Its totient is φ = 39605241600000.

The previous prime is 101121101011103. The next prime is 101121101011123. The reversal of 101121101011112 is 211110101121101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1397069339 + ... + 1397141717.

It is an arithmetic number, because the mean of its divisors is an integer number (1841269572450).

Almost surely, 2^{101121101011112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121101011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117841252636800).

101121101011112 is an abundant number, since it is smaller than the sum of its proper divisors (134561404262488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101121101011112 is a wasteful number, since it uses less digits than its factorization.

101121101011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91507 (or 91503 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101121101011112 its reverse (211110101121101), we get a palindrome (312231202132213).

The spelling of 101121101011112 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred one million, eleven thousand, one hundred twelve".