10100111001101 has 8 divisors (see below), whose sum is σ = 11027054556000. Its totient is φ = 9174626053840.

The previous prime is 10100111001073. The next prime is 10100111001103. The reversal of 10100111001101 is 10110011100101.

10100111001101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100111001101 is a prime.

It is a super-2 number, since 2×10100111001101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100111001103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364637426 + ... + 364665123.

It is an arithmetic number, because the mean of its divisors is an integer number (1378381819500).

Almost surely, 2^{10100111001101} is an apocalyptic number.

10100111001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100111001101 is a deficient number, since it is larger than the sum of its proper divisors (926943554899).

10100111001101 is a wasteful number, since it uses less digits than its factorization.

10100111001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729303819.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10100111001101 its reverse (10110011100101), we get a palindrome (20210122101202).

The spelling of 10100111001101 in words is "ten trillion, one hundred billion, one hundred eleven million, one thousand, one hundred one".