210010011010101 has 12 divisors (see below), whose sum is σ = 304442912073612. Its totient is φ = 139501234748736.

The previous prime is 210010011010061. The next prime is 210010011010117. The reversal of 210010011010101 is 101010110010012.

It can be written as a sum of positive squares in 2 ways, for example, as 10822685346225 + 199187325663876 = 3289785^2 + 14113374^2 .

It is not a de Polignac number, because 210010011010101 - 2³⁷ = 209872572056629 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 (210010011010601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42119935536 + ... + 42119940521.

It is an arithmetic number, because the mean of its divisors is an integer number (25370242672801).

Almost surely, 2^{210010011010101} is an apocalyptic number.

It is an amenable number.

210010011010101 is a deficient number, since it is larger than the sum of its proper divisors (94432901063511).

210010011010101 is a wasteful number, since it uses less digits than its factorization.

210010011010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84239876340 (or 84239876337 counting only the distinct ones).

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

Adding to 210010011010101 its reverse (101010110010012), we get a palindrome (311020121020113).

The spelling of 210010011010101 in words is "two hundred ten trillion, ten billion, eleven million, ten thousand, one hundred one".