101200100120201 has 2 divisors, whose sum is σ = 101200100120202. Its totient is φ = 101200100120200.

The previous prime is 101200100120191. The next prime is 101200100120233. The reversal of 101200100120201 is 102021001002101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82450758457600 + 18749341662601 = 9080240^2 + 4330051^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200100120201 - 2¹⁸ = 101200099858057 is a prime.

It is not a weakly prime, because it can be changed into another prime (101200100126201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600050060100 + 50600050060101.

It is an arithmetic number, because the mean of its divisors is an integer number (50600050060101).

Almost surely, 2^{101200100120201} is an apocalyptic number.

It is an amenable number.

101200100120201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200100120201 is an equidigital number, since it uses as much as digits as its factorization.

101200100120201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101200100120201 its reverse (102021001002101), we get a palindrome (203221101122302).

The spelling of 101200100120201 in words is "one hundred one trillion, two hundred billion, one hundred million, one hundred twenty thousand, two hundred one".