10110210100101 has 6 divisors (see below), whose sum is σ = 14603636811270. Its totient is φ = 6740140066728.

The previous prime is 10110210100087. The next prime is 10110210100141. The reversal of 10110210100101 is 10100101201101.

It can be written as a sum of positive squares in only one way, i.e., 10017794708100 + 92415392001 = 3165090^2 + 303999^2 .

It is not a de Polignac number, because 10110210100101 - 2⁶ = 10110210100037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1123356677789 = 10110210100101 / (1 + 0 + 1 + 1 + 0 + 2 + 1 + 0 + 1 + 0 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110210100141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561678338886 + ... + 561678338903.

It is an arithmetic number, because the mean of its divisors is an integer number (2433939468545).

Almost surely, 2^{10110210100101} is an apocalyptic number.

It is an amenable number.

10110210100101 is a deficient number, since it is larger than the sum of its proper divisors (4493426711169).

10110210100101 is a wasteful number, since it uses less digits than its factorization.

10110210100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123356677795 (or 1123356677792 counting only the distinct ones).

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

Adding to 10110210100101 its reverse (10100101201101), we get a palindrome (20210311301202).

The spelling of 10110210100101 in words is "ten trillion, one hundred ten billion, two hundred ten million, one hundred thousand, one hundred one".