10102000020102 has 12 divisors (see below), whose sum is σ = 21887666710260. Its totient is φ = 3367333340028.

The previous prime is 10102000020089. The next prime is 10102000020107. The reversal of 10102000020102 is 20102000020101.

It is a super-2 number, since 2×10102000020102² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102000020107) 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 5 ways as a sum of consecutive naturals, for example, 280611111652 + ... + 280611111687.

It is an arithmetic number, because the mean of its divisors is an integer number (1823972225855).

Almost surely, 2^{10102000020102} is an apocalyptic number.

10102000020102 is an abundant number, since it is smaller than the sum of its proper divisors (11785666690158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10102000020102 is a wasteful number, since it uses less digits than its factorization.

10102000020102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561222223347 (or 561222223344 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10102000020102 its reverse (20102000020101), we get a palindrome (30204000040203).

Subtracting 10102000020102 from its reverse (20102000020101), we obtain a palindrome (9999999999999).

The spelling of 10102000020102 in words is "ten trillion, one hundred two billion, twenty thousand, one hundred two".