202111100110001 has 12 divisors (see below), whose sum is σ = 213310514337732. Its totient is φ = 191471767778304.

The previous prime is 202111100109967. The next prime is 202111100110009. The reversal of 202111100110001 is 100011001111202.

202111100110001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 158503038860401 + 43608061249600 = 12589799^2 + 6603640^2 .

It is not a de Polignac number, because 202111100110001 - 2¹⁰ = 202111100108977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202111100110009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34208261 + ... + 39679053.

It is an arithmetic number, because the mean of its divisors is an integer number (17775876194811).

Almost surely, 2^{202111100110001} is an apocalyptic number.

It is an amenable number.

202111100110001 is a deficient number, since it is larger than the sum of its proper divisors (11199414227731).

202111100110001 is a wasteful number, since it uses less digits than its factorization.

202111100110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5573168 (or 5573149 counting only the distinct ones).

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

Adding to 202111100110001 its reverse (100011001111202), we get a palindrome (302122101221203).

The spelling of 202111100110001 in words is "two hundred two trillion, one hundred eleven billion, one hundred million, one hundred ten thousand, one".