10102001110101 has 8 divisors (see below), whose sum is σ = 14965927570560. Its totient is φ = 6734667406716.

The previous prime is 10102001110093. The next prime is 10102001110109. The reversal of 10102001110101 is 10101110020101.

It is an interprime number because it is at equal distance from previous prime (10102001110093) and next prime (10102001110109).

It is not a de Polignac number, because 10102001110101 - 2³ = 10102001110093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102001110109) 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, 187074094605 + ... + 187074094658.

It is an arithmetic number, because the mean of its divisors is an integer number (1870740946320).

Almost surely, 2^{10102001110101} is an apocalyptic number.

It is an amenable number.

10102001110101 is a deficient number, since it is larger than the sum of its proper divisors (4863926460459).

10102001110101 is an equidigital number, since it uses as much as digits as its factorization.

10102001110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374148189272 (or 374148189266 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10102001110101 its reverse (10101110020101), we get a palindrome (20203111130202).

The spelling of 10102001110101 in words is "ten trillion, one hundred two billion, one million, one hundred ten thousand, one hundred one".