210011001102001 has 72 divisors (see below), whose sum is σ = 237631915207008. Its totient is φ = 185454052713600.

The previous prime is 210011001101857. The next prime is 210011001102011. The reversal of 210011001102001 is 100201100110012.

It is a de Polignac number, because none of the positive numbers 2^k-210011001102001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210011001102011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20083288365 + ... + 20083298821.

It is an arithmetic number, because the mean of its divisors is an integer number (3300443266764).

Almost surely, 2^{210011001102001} is an apocalyptic number.

It is an amenable number.

210011001102001 is a deficient number, since it is larger than the sum of its proper divisors (27620914105007).

210011001102001 is a wasteful number, since it uses less digits than its factorization.

210011001102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11131 (or 11073 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 210011001102001 its reverse (100201100110012), we get a palindrome (310212101212013).

The spelling of 210011001102001 in words is "two hundred ten trillion, eleven billion, one million, one hundred two thousand, one".