121112000201101 has 16 divisors (see below), whose sum is σ = 149061787168000. Its totient is φ = 95824323952128.

The previous prime is 121112000201051. The next prime is 121112000201107. The reversal of 121112000201101 is 101102000211121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 121112000201101 - 2¹⁹ = 121111999676813 is a prime.

It is a super-2 number, since 2×121112000201101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112000201107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12302365 + ... + 19838653.

It is an arithmetic number, because the mean of its divisors is an integer number (9316361698000).

Almost surely, 2^{121112000201101} is an apocalyptic number.

It is an amenable number.

121112000201101 is a deficient number, since it is larger than the sum of its proper divisors (27949786966899).

121112000201101 is a wasteful number, since it uses less digits than its factorization.

121112000201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712908.

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

Adding to 121112000201101 its reverse (101102000211121), we get a palindrome (222214000412222).

The spelling of 121112000201101 in words is "one hundred twenty-one trillion, one hundred twelve billion, two hundred one thousand, one hundred one".