10101111001101 has 32 divisors (see below), whose sum is σ = 14972289024000. Its totient is φ = 6730618949424.

The previous prime is 10101111001087. The next prime is 10101111001127. The reversal of 10101111001101 is 10110011110101.

It is not a de Polignac number, because 10101111001101 - 2¹⁷ = 10101110870029 is a prime.

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 (10101111001901) 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, 533904120 + ... + 533923038.

It is an arithmetic number, because the mean of its divisors is an integer number (467884032000).

Almost surely, 2^{10101111001101} is an apocalyptic number.

It is an amenable number.

10101111001101 is a deficient number, since it is larger than the sum of its proper divisors (4871178022899).

10101111001101 is a wasteful number, since it uses less digits than its factorization.

10101111001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28030 (or 28024 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10101111001101 its reverse (10110011110101), we get a palindrome (20211122111202).

The spelling of 10101111001101 in words is "ten trillion, one hundred one billion, one hundred eleven million, one thousand, one hundred one".