10100101100101 has 8 divisors (see below), whose sum is σ = 10274190141600. Its totient is φ = 9926108754960.

The previous prime is 10100101100083. The next prime is 10100101100107. The reversal of 10100101100101 is 10100110100101.

It is a happy number.

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

It is not a de Polignac number, because 10100101100101 - 2⁵ = 10100101100069 is a prime.

It is a super-2 number, since 2×10100101100101² (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 (10100101100107) 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, 23963371 + ... + 24381208.

It is an arithmetic number, because the mean of its divisors is an integer number (1284273767700).

Almost surely, 2^{10100101100101} is an apocalyptic number.

It is an amenable number.

10100101100101 is a deficient number, since it is larger than the sum of its proper divisors (174089041499).

10100101100101 is an equidigital number, since it uses as much as digits as its factorization.

10100101100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48348179.

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

Adding to 10100101100101 its reverse (10100110100101), we get a palindrome (20200211200202).

Subtracting 10100101100101 from its reverse (10100110100101), we obtain a square (9000000 = 3000²).

The spelling of 10100101100101 in words is "ten trillion, one hundred billion, one hundred one million, one hundred thousand, one hundred one".