101200101002101 has 2 divisors, whose sum is σ = 101200101002102. Its totient is φ = 101200101002100.

The previous prime is 101200101002083. The next prime is 101200101002129.

101200101002101 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100362848551876 + 837252450225 = 10018126^2 + 915015^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 101200101002101 - 2³³ = 101191511067509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101200101002171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600050501050 + 50600050501051.

It is an arithmetic number, because the mean of its divisors is an integer number (50600050501051).

Almost surely, 2^{101200101002101} is an apocalyptic number.

It is an amenable number.

101200101002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200101002101 is an equidigital number, since it uses as much as digits as its factorization.

101200101002101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 10120010 and 1002101, that added together give a palindrome (11122111).

The spelling of 101200101002101 in words is "one hundred one trillion, two hundred billion, one hundred one million, two thousand, one hundred one".