10110100002201 has 12 divisors (see below), whose sum is σ = 14701487700900. Its totient is φ = 6694831320480.

The previous prime is 10110100002187. The next prime is 10110100002251. The reversal of 10110100002201 is 10220000101101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4145153481225 + 5964946520976 = 2035965^2 + 2442324^2 .

It is not a de Polignac number, because 10110100002201 - 2¹⁷ = 10110099871129 is a prime.

It is a super-3 number, since 3×10110100002201³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10110100002251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3769610890 + ... + 3769613571.

It is an arithmetic number, because the mean of its divisors is an integer number (1225123975075).

Almost surely, 2^{10110100002201} is an apocalyptic number.

It is an amenable number.

10110100002201 is a deficient number, since it is larger than the sum of its proper divisors (4591387698699).

10110100002201 is a wasteful number, since it uses less digits than its factorization.

10110100002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7539224616 (or 7539224613 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10110100002201 its reverse (10220000101101), we get a palindrome (20330100103302).

The spelling of 10110100002201 in words is "ten trillion, one hundred ten billion, one hundred million, two thousand, two hundred one".