10211100101001 has 24 divisors (see below), whose sum is σ = 14948309025000. Its totient is φ = 6715921293312.

The previous prime is 10211100100969. The next prime is 10211100101029. The reversal of 10211100101001 is 10010100111201.

10211100101001 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 4 ways, for example, as 1449050175225 + 8762049925776 = 1203765^2 + 2960076^2 .

It is not a de Polignac number, because 10211100101001 - 2⁵ = 10211100100969 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10211100101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13836276 + ... + 14555573.

It is an arithmetic number, because the mean of its divisors is an integer number (622846209375).

Almost surely, 2^{10211100101001} is an apocalyptic number.

It is an amenable number.

10211100101001 is a deficient number, since it is larger than the sum of its proper divisors (4737208923999).

10211100101001 is a wasteful number, since it uses less digits than its factorization.

10211100101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28392393 (or 28392390 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10211100101001 its reverse (10010100111201), we get a palindrome (20221200212202).

The spelling of 10211100101001 in words is "ten trillion, two hundred eleven billion, one hundred million, one hundred one thousand, one".