102001101100201 has 8 divisors (see below), whose sum is σ = 104153109142824. Its totient is φ = 99869491238400.

The previous prime is 102001101100193. The next prime is 102001101100219.

102001101100201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3576546662976 + 98424554437225 = 1891176^2 + 9920915^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102001101100201 - 2³ = 102001101100193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102001101107201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5099535100 + ... + 5099555101.

It is an arithmetic number, because the mean of its divisors is an integer number (13019138642853).

Almost surely, 2^{102001101100201} is an apocalyptic number.

It is an amenable number.

102001101100201 is a deficient number, since it is larger than the sum of its proper divisors (2152008042623).

102001101100201 is a wasteful number, since it uses less digits than its factorization.

102001101100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199090411.

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

It can be divided in two parts, 10200110 and 1100201, that added together give a palindrome (11300311).

The spelling of 102001101100201 in words is "one hundred two trillion, one billion, one hundred one million, one hundred thousand, two hundred one".