10102102010101 has 32 divisors (see below), whose sum is σ = 10748394639360. Its totient is φ = 9467904303936.

The previous prime is 10102102010089. The next prime is 10102102010107. The reversal of 10102102010101 is 10101020120101.

It is a cyclic number.

It is not a de Polignac number, because 10102102010101 - 2⁹ = 10102102009589 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 (10102102010107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731658340 + ... + 731672146.

It is an arithmetic number, because the mean of its divisors is an integer number (335887332480).

Almost surely, 2^{10102102010101} is an apocalyptic number.

It is an amenable number.

10102102010101 is a deficient number, since it is larger than the sum of its proper divisors (646292629259).

10102102010101 is a wasteful number, since it uses less digits than its factorization.

10102102010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15073.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10102102010101 its reverse (10101020120101), we get a palindrome (20203122130202).

The spelling of 10102102010101 in words is "ten trillion, one hundred two billion, one hundred two million, ten thousand, one hundred one".