101200100126201 has 2 divisors, whose sum is σ = 101200100126202. Its totient is φ = 101200100126200.

The previous prime is 101200100126057. The next prime is 101200100126219. The reversal of 101200100126201 is 102621001002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59974197978601 + 41225902147600 = 7744301^2 + 6420740^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200100126201 - 2¹⁴ = 101200100109817 is a prime.

It is a super-2 number, since 2×101200100126201² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101200100126201.

It is not a weakly prime, because it can be changed into another prime (101200100126221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600050063100 + 50600050063101.

It is an arithmetic number, because the mean of its divisors is an integer number (50600050063101).

Almost surely, 2^{101200100126201} is an apocalyptic number.

It is an amenable number.

101200100126201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200100126201 is an equidigital number, since it uses as much as digits as its factorization.

101200100126201 is an evil number, because the sum of its binary digits is even.

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

Adding to 101200100126201 its reverse (102621001002101), we get a palindrome (203821101128302).

The spelling of 101200100126201 in words is "one hundred one trillion, two hundred billion, one hundred million, one hundred twenty-six thousand, two hundred one".