201100122121101 has 16 divisors (see below), whose sum is σ = 306520901635200. Its totient is φ = 114883372882368.

The previous prime is 201100122121081. The next prime is 201100122121141. The reversal of 201100122121101 is 101121221001102.

It is a happy number.

It is not a de Polignac number, because 201100122121101 - 2⁶ = 201100122121037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100122121141) 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, 1290862566 + ... + 1291018343.

It is an arithmetic number, because the mean of its divisors is an integer number (19157556352200).

Almost surely, 2^{201100122121101} is an apocalyptic number.

201100122121101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201100122121101 is a deficient number, since it is larger than the sum of its proper divisors (105420779514099).

201100122121101 is a wasteful number, since it uses less digits than its factorization.

201100122121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581884628.

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

Adding to 201100122121101 its reverse (101121221001102), we get a palindrome (302221343122203).

The spelling of 201100122121101 in words is "two hundred one trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred one".