10100550501001 has 2 divisors, whose sum is σ = 10100550501002. Its totient is φ = 10100550501000.

The previous prime is 10100550500993. The next prime is 10100550501047. The reversal of 10100550501001 is 10010505500101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10095902534025 + 4647966976 = 3177405^2 + 68176^2 .

It is an emirp because it is prime and its reverse (10010505500101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100550501001 - 2³ = 10100550500993 is a prime.

It is a super-2 number, since 2×10100550501001² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100550501001.

It is not a weakly prime, because it can be changed into another prime (10100550501061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050275250500 + 5050275250501.

It is an arithmetic number, because the mean of its divisors is an integer number (5050275250501).

Almost surely, 2^{10100550501001} is an apocalyptic number.

It is an amenable number.

10100550501001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100550501001 is an equidigital number, since it uses as much as digits as its factorization.

10100550501001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125, while the sum is 19.

The spelling of 10100550501001 in words is "ten trillion, one hundred billion, five hundred fifty million, five hundred one thousand, one".