201100122121081 has 2 divisors, whose sum is σ = 201100122121082. Its totient is φ = 201100122121080.

The previous prime is 201100122121037. The next prime is 201100122121141. The reversal of 201100122121081 is 180121221001102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132398966925625 + 68701155195456 = 11506475^2 + 8288616^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201100122121081 is a prime.

It is a super-2 number, since 2×201100122121081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201100122221081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100550061060540 + 100550061060541.

It is an arithmetic number, because the mean of its divisors is an integer number (100550061060541).

Almost surely, 2^{201100122121081} is an apocalyptic number.

It is an amenable number.

201100122121081 is a deficient number, since it is larger than the sum of its proper divisors (1).

201100122121081 is an equidigital number, since it uses as much as digits as its factorization.

201100122121081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 22.

Adding to 201100122121081 its reverse (180121221001102), we get a palindrome (381221343122183).

The spelling of 201100122121081 in words is "two hundred one trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, eighty-one".