210001011101001 has 10 divisors (see below), whose sum is σ = 313705214113962. Its totient is φ = 140000674067280.

The previous prime is 210001011100963. The next prime is 210001011101039. The reversal of 210001011101001 is 100101110100012.

It is an interprime number because it is at equal distance from previous prime (210001011100963) and next prime (210001011101039).

It can be written as a sum of positive squares in only one way, i.e., 189295771910400 + 20705239190601 = 13758480^2 + 4550301^2 .

It is not a de Polignac number, because 210001011101001 - 2²⁶ = 210000943992137 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 (210001011301001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1296302537580 + ... + 1296302537741.

Almost surely, 2^{210001011101001} is an apocalyptic number.

It is an amenable number.

210001011101001 is a deficient number, since it is larger than the sum of its proper divisors (103704203012961).

210001011101001 is an equidigital number, since it uses as much as digits as its factorization.

210001011101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592605075333 (or 2592605075324 counting only the distinct ones).

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

Adding to 210001011101001 its reverse (100101110100012), we get a palindrome (310102121201013).

The spelling of 210001011101001 in words is "two hundred ten trillion, one billion, eleven million, one hundred one thousand, one".