121012002101112 has 64 divisors (see below), whose sum is σ = 302651355014400. Its totient is φ = 40321156561920.

The previous prime is 121012002101101. The next prime is 121012002101117. The reversal of 121012002101112 is 211101200210121.

It is a happy number.

It is a super-3 number, since 3×121012002101112³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121012002101091 and 121012002101100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121012002101117) 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, 851892189 + ... + 852034227.

It is an arithmetic number, because the mean of its divisors is an integer number (4728927422100).

Almost surely, 2^{121012002101112} is an apocalyptic number.

121012002101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121012002101112 is an abundant number, since it is smaller than the sum of its proper divisors (181639352913288).

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

121012002101112 is a wasteful number, since it uses less digits than its factorization.

121012002101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156036 (or 156032 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121012002101112 its reverse (211101200210121), we get a palindrome (332113202311233).

The spelling of 121012002101112 in words is "one hundred twenty-one trillion, twelve billion, two million, one hundred one thousand, one hundred twelve".