10100010000101 has 8 divisors (see below), whose sum is σ = 11760658545024. Its totient is φ = 8493808948560.

The previous prime is 10100010000097. The next prime is 10100010000137. The reversal of 10100010000101 is 10100001000101.

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 10100010000101 - 2² = 10100010000097 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 (10100010000191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13611872945 + ... + 13611873686.

It is an arithmetic number, because the mean of its divisors is an integer number (1470082318128).

Almost surely, 2^{10100010000101} is an apocalyptic number.

It is an amenable number.

10100010000101 is a deficient number, since it is larger than the sum of its proper divisors (1660648544923).

10100010000101 is an equidigital number, since it uses as much as digits as its factorization.

10100010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27223746691.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10100010000101 its reverse (10100001000101), we get a palindrome (20200011000202).

Subtracting from 10100010000101 its reverse (10100001000101), we obtain a square (9000000 = 3000²).

The spelling of 10100010000101 in words is "ten trillion, one hundred billion, ten million, one hundred one", and thus it is an aban number.