10101102102101 has 4 divisors (see below), whose sum is σ = 10113316252992. Its totient is φ = 10088887951212.

The previous prime is 10101102102031. The next prime is 10101102102107. The reversal of 10101102102101 is 10120120110101.

10101102102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101102102101 is a prime.

It is a super-2 number, since 2×10101102102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101102102107) 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, 6107074205 + ... + 6107075858.

It is an arithmetic number, because the mean of its divisors is an integer number (2528329063248).

Almost surely, 2^{10101102102101} is an apocalyptic number.

It is an amenable number.

10101102102101 is a deficient number, since it is larger than the sum of its proper divisors (12214150891).

10101102102101 is an equidigital number, since it uses as much as digits as its factorization.

10101102102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12214150890.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10101102102101 its reverse (10120120110101), we get a palindrome (20221222212202).

The spelling of 10101102102101 in words is "ten trillion, one hundred one billion, one hundred two million, one hundred two thousand, one hundred one".