10100000110201 has 8 divisors (see below), whose sum is σ = 10514825509320. Its totient is φ = 9689611346688.

The previous prime is 10100000110183. The next prime is 10100000110267. The reversal of 10100000110201 is 10201100000101.

It can be written as a sum of positive squares in 4 ways, for example, as 46813813225 + 10053186296976 = 216365^2 + 3170676^2 .

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 10100000110201 - 2⁷ = 10100000110073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100000110901) 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, 1109154256 + ... + 1109163361.

It is an arithmetic number, because the mean of its divisors is an integer number (1314353188665).

Almost surely, 2^{10100000110201} is an apocalyptic number.

It is an amenable number.

10100000110201 is a deficient number, since it is larger than the sum of its proper divisors (414825399119).

10100000110201 is a wasteful number, since it uses less digits than its factorization.

10100000110201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218317803.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100000110201 its reverse (10201100000101), we get a palindrome (20301100110302).

The spelling of 10100000110201 in words is "ten trillion, one hundred billion, one hundred ten thousand, two hundred one".