20110210100101 has 32 divisors (see below), whose sum is σ = 22392126259200. Its totient is φ = 17905162466880.

The previous prime is 20110210100093. The next prime is 20110210100131. The reversal of 20110210100101 is 10100101201102.

It is a cyclic number.

It is not a de Polignac number, because 20110210100101 - 2³ = 20110210100093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110210100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1171437220 + ... + 1171454386.

It is an arithmetic number, because the mean of its divisors is an integer number (699753945600).

Almost surely, 2^{20110210100101} is an apocalyptic number.

It is an amenable number.

20110210100101 is a deficient number, since it is larger than the sum of its proper divisors (2281916159099).

20110210100101 is a wasteful number, since it uses less digits than its factorization.

20110210100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20689.

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

Adding to 20110210100101 its reverse (10100101201102), we get a palindrome (30210311301203).

It can be divided in two parts, 201102 and 10100101, that multiplied together give a palindrome (2031150511302).

The spelling of 20110210100101 in words is "twenty trillion, one hundred ten billion, two hundred ten million, one hundred thousand, one hundred one".