121011101012112 has 160 divisors (see below), whose sum is σ = 333868459622400. Its totient is φ = 37635845474304.

The previous prime is 121011101012111. The next prime is 121011101012143. The reversal of 121011101012112 is 211210101110121.

It is a junction number, because it is equal to n+sod(n) for n = 121011101012091 and 121011101012100.

It is not an unprimeable number, because it can be changed into a prime (121011101012111) 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, 132088839 + ... + 133001817.

It is an arithmetic number, because the mean of its divisors is an integer number (2086677872640).

Almost surely, 2^{121011101012112} is an apocalyptic number.

121011101012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121011101012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166934229811200).

121011101012112 is an abundant number, since it is smaller than the sum of its proper divisors (212857358610288).

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

121011101012112 is a wasteful number, since it uses less digits than its factorization.

121011101012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914413 (or 914407 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 121011101012112 its reverse (211210101110121), we get a palindrome (332221202122233).

The spelling of 121011101012112 in words is "one hundred twenty-one trillion, eleven billion, one hundred one million, twelve thousand, one hundred twelve".