100201001011121 has 2 divisors, whose sum is σ = 100201001011122. Its totient is φ = 100201001011120.

The previous prime is 100201001011063. The next prime is 100201001011127. The reversal of 100201001011121 is 121110100102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84170074080625 + 16030926930496 = 9174425^2 + 4003864^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201001011121 - 2³⁸ = 99926123104177 is a prime.

It is not a weakly prime, because it can be changed into another prime (100201001011127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100500505560 + 50100500505561.

It is an arithmetic number, because the mean of its divisors is an integer number (50100500505561).

Almost surely, 2^{100201001011121} is an apocalyptic number.

It is an amenable number.

100201001011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201001011121 is an equidigital number, since it uses as much as digits as its factorization.

100201001011121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100201001011121 its reverse (121110100102001), we get a palindrome (221311101113122).

The spelling of 100201001011121 in words is "one hundred trillion, two hundred one billion, one million, eleven thousand, one hundred twenty-one".