121222000100101 has 16 divisors (see below), whose sum is σ = 127186360432560. Its totient is φ = 115378268866560.

The previous prime is 121222000100087. The next prime is 121222000100119. The reversal of 121222000100101 is 101001000222121.

It can be written as a sum of positive squares in 8 ways, for example, as 12620611502500 + 108601388597601 = 3552550^2 + 10421199^2 .

It is a cyclic number.

It is not a de Polignac number, because 121222000100101 - 2¹⁷ = 121221999969029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222000100191) 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, 10916520 + ... + 19016161.

It is an arithmetic number, because the mean of its divisors is an integer number (7949147527035).

Almost surely, 2^{121222000100101} is an apocalyptic number.

It is an amenable number.

121222000100101 is a deficient number, since it is larger than the sum of its proper divisors (5964360332459).

121222000100101 is a wasteful number, since it uses less digits than its factorization.

121222000100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29934696.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121222000100101 its reverse (101001000222121), we get a palindrome (222223000322222).

The spelling of 121222000100101 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred thousand, one hundred one".