121122112101 has 32 divisors (see below), whose sum is σ = 169132658688. Its totient is φ = 76955862720.

The previous prime is 121122112049. The next prime is 121122112109. The reversal of 121122112101 is 101211221121.

It is a happy number.

It is not a de Polignac number, because 121122112101 - 2²⁵ = 121088557669 is a prime.

It is a super-3 number, since 3×121122112101³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48897475 + ... + 48899951.

It is an arithmetic number, because the mean of its divisors is an integer number (5285395584).

Almost surely, 2^121122112101 is an apocalyptic number.

It is an amenable number.

121122112101 is a deficient number, since it is larger than the sum of its proper divisors (48010546587).

121122112101 is a wasteful number, since it uses less digits than its factorization.

121122112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4801.

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

Adding to 121122112101 its reverse (101211221121), we get a palindrome (222333333222).

The spelling of 121122112101 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred one".