10101112100201 has 4 divisors (see below), whose sum is σ = 10102221024900. Its totient is φ = 10100003175504.

The previous prime is 10101112100173. The next prime is 10101112100231. The reversal of 10101112100201 is 10200121110101.

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 1445042005801 + 8656070094400 = 1202099^2 + 2942120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101112100201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101112100231) 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, 554448686 + ... + 554466903.

It is an arithmetic number, because the mean of its divisors is an integer number (2525555256225).

Almost surely, 2^{10101112100201} is an apocalyptic number.

It is an amenable number.

10101112100201 is a deficient number, since it is larger than the sum of its proper divisors (1108924699).

10101112100201 is an equidigital number, since it uses as much as digits as its factorization.

10101112100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108924698.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10101112100201 its reverse (10200121110101), we get a palindrome (20301233210302).

The spelling of 10101112100201 in words is "ten trillion, one hundred one billion, one hundred twelve million, one hundred thousand, two hundred one".