10201121110001 has 4 divisors (see below), whose sum is σ = 10243449413604. Its totient is φ = 10158792806400.

The previous prime is 10201121109961. The next prime is 10201121110057. The reversal of 10201121110001 is 10001112110201.

10201121110001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7874764052401 + 2326357057600 = 2806201^2 + 1525240^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201121110001 - 2³⁴ = 10183941240817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201121110091) 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, 21164151440 + ... + 21164151921.

It is an arithmetic number, because the mean of its divisors is an integer number (2560862353401).

Almost surely, 2^{10201121110001} is an apocalyptic number.

It is an amenable number.

10201121110001 is a deficient number, since it is larger than the sum of its proper divisors (42328303603).

10201121110001 is an equidigital number, since it uses as much as digits as its factorization.

10201121110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42328303602.

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

Adding to 10201121110001 its reverse (10001112110201), we get a palindrome (20202233220202).

The spelling of 10201121110001 in words is "ten trillion, two hundred one billion, one hundred twenty-one million, one hundred ten thousand, one".