10102100100101 has 8 divisors (see below), whose sum is σ = 10135176056544. Its totient is φ = 10069072467120.

The previous prime is 10102100100061. The next prime is 10102100100121. The reversal of 10102100100101 is 10100100120101.

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 10102100100101 - 2¹⁴ = 10102100083717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102100100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11662055 + ... + 12498308.

It is an arithmetic number, because the mean of its divisors is an integer number (1266897007068).

Almost surely, 2^{10102100100101} is an apocalyptic number.

It is an amenable number.

10102100100101 is a deficient number, since it is larger than the sum of its proper divisors (33075956443).

10102100100101 is an equidigital number, since it uses as much as digits as its factorization.

10102100100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24161731.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10102100100101 its reverse (10100100120101), we get a palindrome (20202200220202).

The spelling of 10102100100101 in words is "ten trillion, one hundred two billion, one hundred million, one hundred thousand, one hundred one".