10002211101101 has 4 divisors (see below), whose sum is σ = 10002259109052. Its totient is φ = 10002163093152.

The previous prime is 10002211101037. The next prime is 10002211101163. The reversal of 10002211101101 is 10110111220001.

10002211101101 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 887880291076 + 9114330810025 = 942274^2 + 3018995^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002211101101 - 2⁶ = 10002211101037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002214101101) 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, 23690090 + ... + 24108603.

It is an arithmetic number, because the mean of its divisors is an integer number (2500564777263).

Almost surely, 2^{10002211101101} is an apocalyptic number.

It is an amenable number.

10002211101101 is a deficient number, since it is larger than the sum of its proper divisors (48007951).

10002211101101 is an equidigital number, since it uses as much as digits as its factorization.

10002211101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48007950.

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

Adding to 10002211101101 its reverse (10110111220001), we get a palindrome (20112322321102).

The spelling of 10002211101101 in words is "ten trillion, two billion, two hundred eleven million, one hundred one thousand, one hundred one".