10100111000101 has 8 divisors (see below), whose sum is σ = 10634226627200. Its totient is φ = 9566248456800.

The previous prime is 10100111000059. The next prime is 10100111000131. The reversal of 10100111000101 is 10100011100101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 10100111000101 - 2⁴¹ = 7901087744549 is a prime.

It is a super-2 number, since 2×10100111000101² (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 (10100111000131) 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, 63189021 + ... + 63348658.

It is an arithmetic number, because the mean of its divisors is an integer number (1329278328400).

Almost surely, 2^{10100111000101} is an apocalyptic number.

It is an amenable number.

10100111000101 is a deficient number, since it is larger than the sum of its proper divisors (534115627099).

10100111000101 is a wasteful number, since it uses less digits than its factorization.

10100111000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126541899.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100111000101 its reverse (10100011100101), we get a palindrome (20200122100202).

The spelling of 10100111000101 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred one", and thus it is an aban number.