100120101200261 has 2 divisors, whose sum is σ = 100120101200262. Its totient is φ = 100120101200260.

The previous prime is 100120101200179. The next prime is 100120101200269. The reversal of 100120101200261 is 162002101021001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66002528149636 + 34117573050625 = 8124194^2 + 5841025^2 .

It is an emirp because it is prime and its reverse (162002101021001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100120101200261 - 2³⁸ = 99845223293317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100120101200269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060050600130 + 50060050600131.

It is an arithmetic number, because the mean of its divisors is an integer number (50060050600131).

Almost surely, 2^{100120101200261} is an apocalyptic number.

It is an amenable number.

100120101200261 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120101200261 is an equidigital number, since it uses as much as digits as its factorization.

100120101200261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100120101200261 its reverse (162002101021001), we get a palindrome (262122202221262).

The spelling of 100120101200261 in words is "one hundred trillion, one hundred twenty billion, one hundred one million, two hundred thousand, two hundred sixty-one".