10100111010101 has 8 divisors (see below), whose sum is σ = 11543012105280. Its totient is φ = 8657216938368.

The previous prime is 10100111010083. The next prime is 10100111010109. The reversal of 10100111010101 is 10101011100101.

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 10100111010101 - 2²⁶ = 10100043901237 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 (10100111010109) 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, 1807910 + ... + 4844456.

It is an arithmetic number, because the mean of its divisors is an integer number (1442876513160).

Almost surely, 2^{10100111010101} is an apocalyptic number.

It is an amenable number.

10100111010101 is a deficient number, since it is larger than the sum of its proper divisors (1442901095179).

10100111010101 is an equidigital number, since it uses as much as digits as its factorization.

10100111010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511723.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10100111010101 its reverse (10101011100101), we get a palindrome (20201122110202).

The spelling of 10100111010101 in words is "ten trillion, one hundred billion, one hundred eleven million, ten thousand, one hundred one".