100201102102001 has 4 divisors (see below), whose sum is σ = 102645031421604. Its totient is φ = 97757172782400.

The previous prime is 100201102101977. The next prime is 100201102102039. The reversal of 100201102102001 is 100201201102001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 17615446949776 + 82585655152225 = 4197076^2 + 9087665^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201102102001 - 2⁶ = 100201102101937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201102102301) 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, 1221964659740 + ... + 1221964659821.

It is an arithmetic number, because the mean of its divisors is an integer number (25661257855401).

Almost surely, 2^{100201102102001} is an apocalyptic number.

It is an amenable number.

100201102102001 is a deficient number, since it is larger than the sum of its proper divisors (2443929319603).

100201102102001 is an equidigital number, since it uses as much as digits as its factorization.

100201102102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443929319602.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100201102102001 its reverse (100201201102001), we get a palindrome (200402303204002).

The spelling of 100201102102001 in words is "one hundred trillion, two hundred one billion, one hundred two million, one hundred two thousand, one".