10131102101 has 16 divisors (see below), whose sum is σ = 10387573248. Its totient is φ = 9877939200.

The previous prime is 10131102097. The next prime is 10131102103. The reversal of 10131102101 is 10120113101.

It is a happy number.

10131102101 is digitally balanced in base 3, 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 10131102101 - 2² = 10131102097 is a prime.

It is a super-2 number, since 2×10131102101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131102103) 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 15 ways as a sum of consecutive naturals, for example, 3660020 + ... + 3662786.

It is an arithmetic number, because the mean of its divisors is an integer number (649223328).

Almost surely, 2^10131102101 is an apocalyptic number.

It is an amenable number.

10131102101 is a deficient number, since it is larger than the sum of its proper divisors (256471147).

10131102101 is a wasteful number, since it uses less digits than its factorization.

10131102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10131102101 its reverse (10120113101), we get a palindrome (20251215202).

The spelling of 10131102101 in words is "ten billion, one hundred thirty-one million, one hundred two thousand, one hundred one".