210001010110101 has 32 divisors (see below), whose sum is σ = 355557958529280. Its totient is φ = 120000343408128.

The previous prime is 210001010110079. The next prime is 210001010110109. The reversal of 210001010110101 is 101011010100012.

It is not a de Polignac number, because 210001010110101 - 2¹⁹ = 210001009585813 is a prime.

It is a super-2 number, since 2×210001010110101² (a number of 29 digits) contains 22 as substring.

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 (210001010110109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157433785 + ... + 158762081.

It is an arithmetic number, because the mean of its divisors is an integer number (11111186204040).

Almost surely, 2^{210001010110101} is an apocalyptic number.

210001010110101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210001010110101 is a deficient number, since it is larger than the sum of its proper divisors (145556948419179).

210001010110101 is a wasteful number, since it uses less digits than its factorization.

210001010110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164810 (or 2164804 counting only the distinct ones).

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

Adding to 210001010110101 its reverse (101011010100012), we get a palindrome (311012020210113).

The spelling of 210001010110101 in words is "two hundred ten trillion, one billion, ten million, one hundred ten thousand, one hundred one".