10100505101 has 4 divisors (see below), whose sum is σ = 10200510204. Its totient is φ = 10000500000.

The previous prime is 10100505083. The next prime is 10100505109. The reversal of 10100505101 is 10150500101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9925339876 + 175165225 = 99626^2 + 13235^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100505101 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 (10100505109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50002400 + ... + 50002601.

It is an arithmetic number, because the mean of its divisors is an integer number (2550127551).

Almost surely, 2^10100505101 is an apocalyptic number.

It is an amenable number.

10100505101 is a deficient number, since it is larger than the sum of its proper divisors (100005103).

10100505101 is a wasteful number, since it uses less digits than its factorization.

10100505101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100005102.

The product of its (nonzero) digits is 25, while the sum is 14.

Subtracting 10100505101 from its reverse (10150500101), we obtain a triangular number (49995000 = T₉₉₉₉).

The spelling of 10100505101 in words is "ten billion, one hundred million, five hundred five thousand, one hundred one".