100201020100001 has 4 divisors (see below), whose sum is σ = 100202494167600. Its totient is φ = 100199546032404.

The previous prime is 100201020099991. The next prime is 100201020100079. The reversal of 100201020100001 is 100001020102001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100201020100001 - 2¹⁴ = 100201020083617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201020105001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 736931831 + ... + 737067788.

It is an arithmetic number, because the mean of its divisors is an integer number (25050623541900).

Almost surely, 2^{100201020100001} is an apocalyptic number.

It is an amenable number.

100201020100001 is a deficient number, since it is larger than the sum of its proper divisors (1474067599).

100201020100001 is an equidigital number, since it uses as much as digits as its factorization.

100201020100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474067598.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100201020100001 its reverse (100001020102001), we get a palindrome (200202040202002).

The spelling of 100201020100001 in words is "one hundred trillion, two hundred one billion, twenty million, one hundred thousand, one".