10101101202101 has 16 divisors (see below), whose sum is σ = 13163426002944. Its totient is φ = 7521957713664.

The previous prime is 10101101202019. The next prime is 10101101202113. The reversal of 10101101202101 is 10120210110101.

10101101202101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10101101202101 - 2³⁰ = 10100027460277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101101202121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3264737045 + ... + 3264740138.

It is an arithmetic number, because the mean of its divisors is an integer number (822714125184).

Almost surely, 2^{10101101202101} is an apocalyptic number.

It is an amenable number.

10101101202101 is a deficient number, since it is larger than the sum of its proper divisors (3062324800843).

10101101202101 is a wasteful number, since it uses less digits than its factorization.

10101101202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6529477220.

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

Adding to 10101101202101 its reverse (10120210110101), we get a palindrome (20221311312202).

It can be divided in two parts, 10101 and 101202101, that multiplied together give a palindrome (1022242422201).

The spelling of 10101101202101 in words is "ten trillion, one hundred one billion, one hundred one million, two hundred two thousand, one hundred one".