100201121101 has 2 divisors, whose sum is σ = 100201121102. Its totient is φ = 100201121100.

The previous prime is 100201121093. The next prime is 100201121129. The reversal of 100201121101 is 101121102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58083410025 + 42117711076 = 241005^2 + 205226^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201121101 - 2³ = 100201121093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201121171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100560550 + 50100560551.

It is an arithmetic number, because the mean of its divisors is an integer number (50100560551).

Almost surely, 2^100201121101 is an apocalyptic number.

It is an amenable number.

100201121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201121101 is an equidigital number, since it uses as much as digits as its factorization.

100201121101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100201121101 its reverse (101121102001), we get a palindrome (201322223102).

The spelling of 100201121101 in words is "one hundred billion, two hundred one million, one hundred twenty-one thousand, one hundred one".