210011010100101 has 64 divisors (see below), whose sum is σ = 368488730419200. Its totient is φ = 115662336931008.

The previous prime is 210011010100033. The next prime is 210011010100147. The reversal of 210011010100101 is 101001010110012.

It is not a de Polignac number, because 210011010100101 - 2⁷ = 210011010099973 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210011010100601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30942781 + ... + 37114386.

It is an arithmetic number, because the mean of its divisors is an integer number (5757636412800).

Almost surely, 2^{210011010100101} is an apocalyptic number.

210011010100101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210011010100101 is a deficient number, since it is larger than the sum of its proper divisors (158477720319099).

210011010100101 is a wasteful number, since it uses less digits than its factorization.

210011010100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68057775 (or 68057769 counting only the distinct ones).

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

Adding to 210011010100101 its reverse (101001010110012), we get a palindrome (311012020210113).

The spelling of 210011010100101 in words is "two hundred ten trillion, eleven billion, ten million, one hundred thousand, one hundred one".