10121101101 has 24 divisors (see below), whose sum is σ = 15019971200. Its totient is φ = 6562640736.

The previous prime is 10121101073. The next prime is 10121101121. The reversal of 10121101101 is 10110112101.

10121101101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10121101101 - 2⁷ = 10121100973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121101121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1629600 + ... + 1635798.

Almost surely, 2^10121101101 is an apocalyptic number.

It is an amenable number.

10121101101 is a deficient number, since it is larger than the sum of its proper divisors (4898870099).

10121101101 is a wasteful number, since it uses less digits than its factorization.

10121101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11145 (or 11142 counting only the distinct ones).

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

Adding to 10121101101 its reverse (10110112101), we get a palindrome (20231213202).

The spelling of 10121101101 in words is "ten billion, one hundred twenty-one million, one hundred one thousand, one hundred one".