10102102000001 has 48 divisors (see below), whose sum is σ = 11630178709632. Its totient is φ = 8751541328640.

The previous prime is 10102101999947. The next prime is 10102102000037. The reversal of 10102102000001 is 10000020120101.

It is not a de Polignac number, because 10102102000001 - 2³⁰ = 10101028258177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102102000901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2811604661 + ... + 2811608253.

It is an arithmetic number, because the mean of its divisors is an integer number (242295389784).

Almost surely, 2^{10102102000001} is an apocalyptic number.

10102102000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102102000001 is a deficient number, since it is larger than the sum of its proper divisors (1528076709631).

10102102000001 is a wasteful number, since it uses less digits than its factorization.

10102102000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7142 (or 7131 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10102102000001 its reverse (10000020120101), we get a palindrome (20102122120102).

The spelling of 10102102000001 in words is "ten trillion, one hundred two billion, one hundred two million, one", and thus it is an aban number.