10110000121101 has 12 divisors (see below), whose sum is σ = 14737309046460. Its totient is φ = 6678165216960.

The previous prime is 10110000121079. The next prime is 10110000121103. The reversal of 10110000121101 is 10112100001101.

It can be written as a sum of positive squares in 2 ways, for example, as 6313289415876 + 3796710705225 = 2512626^2 + 1948515^2 .

It is not a de Polignac number, because 10110000121101 - 2²⁵ = 10109966566669 is a prime.

It is a super-3 number, since 3×10110000121101³ (a number of 40 digits) contains 333 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 (10110000121103) 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 11 ways as a sum of consecutive naturals, for example, 5152904280 + ... + 5152906241.

It is an arithmetic number, because the mean of its divisors is an integer number (1228109087205).

Almost surely, 2^{10110000121101} is an apocalyptic number.

It is an amenable number.

10110000121101 is a deficient number, since it is larger than the sum of its proper divisors (4627308925359).

10110000121101 is a wasteful number, since it uses less digits than its factorization.

10110000121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305810636 (or 10305810633 counting only the distinct ones).

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

Adding to 10110000121101 its reverse (10112100001101), we get a palindrome (20222100122202).

The spelling of 10110000121101 in words is "ten trillion, one hundred ten billion, one hundred twenty-one thousand, one hundred one".