10211101100001 has 12 divisors (see below), whose sum is σ = 14749577708580. Its totient is φ = 6807304062720.

The previous prime is 10211101099999. The next prime is 10211101100003. The reversal of 10211101100001 is 10000110111201.

10211101100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10211101099999) and next prime (10211101100003).

It can be written as a sum of positive squares in 2 ways, for example, as 9016801834401 + 1194299265600 = 3002799^2 + 1092840^2 .

It is not a de Polignac number, because 10211101100001 - 2¹ = 10211101099999 is a prime.

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 (10211101100003) 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, 7383960 + ... + 8657081.

It is an arithmetic number, because the mean of its divisors is an integer number (1229131475715).

Almost surely, 2^{10211101100001} is an apocalyptic number.

It is an amenable number.

10211101100001 is a deficient number, since it is larger than the sum of its proper divisors (4538476608579).

10211101100001 is a wasteful number, since it uses less digits than its factorization.

10211101100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16111776 (or 16111773 counting only the distinct ones).

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

Adding to 10211101100001 its reverse (10000110111201), we get a palindrome (20211211211202).

The spelling of 10211101100001 in words is "ten trillion, two hundred eleven billion, one hundred one million, one hundred thousand, one".