10101101012101 has 32 divisors (see below), whose sum is σ = 11114288640000. Its totient is φ = 9104041663680.

The previous prime is 10101101011997. The next prime is 10101101012113. The reversal of 10101101012101 is 10121010110101.

It is a cyclic number.

It is not a de Polignac number, because 10101101012101 - 2¹⁹ = 10101100487813 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 (10101101022101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2859070131 + ... + 2859073663.

It is an arithmetic number, because the mean of its divisors is an integer number (347321520000).

Almost surely, 2^{10101101012101} is an apocalyptic number.

10101101012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101101012101 is a deficient number, since it is larger than the sum of its proper divisors (1013187627899).

10101101012101 is a wasteful number, since it uses less digits than its factorization.

10101101012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7329.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10101101012101 its reverse (10121010110101), we get a palindrome (20222111122202).

The spelling of 10101101012101 in words is "ten trillion, one hundred one billion, one hundred one million, twelve thousand, one hundred one".