121112012101 has 8 divisors (see below), whose sum is σ = 121422344600. Its totient is φ = 120801749760.

The previous prime is 121112012027. The next prime is 121112012117. The reversal of 121112012101 is 101210211121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21499183876 + 99612828225 = 146626^2 + 315615^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121112012101 - 2²¹ = 121109914949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112019101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6223855 + ... + 6243283.

It is an arithmetic number, because the mean of its divisors is an integer number (15177793075).

Almost surely, 2^121112012101 is an apocalyptic number.

It is an amenable number.

121112012101 is a deficient number, since it is larger than the sum of its proper divisors (310332499).

121112012101 is a wasteful number, since it uses less digits than its factorization.

121112012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35079.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 121112012101 its reverse (101210211121), we get a palindrome (222322223222).

It can be divided in two parts, 1211120 and 12101, that added together give a palindrome (1223221).

The spelling of 121112012101 in words is "one hundred twenty-one billion, one hundred twelve million, twelve thousand, one hundred one".