101200220011001 has 2 divisors, whose sum is σ = 101200220011002. Its totient is φ = 101200220011000.

The previous prime is 101200220010941. The next prime is 101200220011013. The reversal of 101200220011001 is 100110022002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91440469127401 + 9759750883600 = 9562451^2 + 3124060^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200220011001 - 2¹⁴ = 101200219994617 is a prime.

It is a super-2 number, since 2×101200220011001² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101200280011001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600110005500 + 50600110005501.

It is an arithmetic number, because the mean of its divisors is an integer number (50600110005501).

Almost surely, 2^{101200220011001} is an apocalyptic number.

It is an amenable number.

101200220011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200220011001 is an equidigital number, since it uses as much as digits as its factorization.

101200220011001 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 101200220011001 its reverse (100110022002101), we get a palindrome (201310242013102).

The spelling of 101200220011001 in words is "one hundred one trillion, two hundred billion, two hundred twenty million, eleven thousand, one".