102010010210020 has 36 divisors (see below), whose sum is σ = 235466081424252. Its totient is φ = 37094549166400.

The previous prime is 102010010209937. The next prime is 102010010210107. The reversal of 102010010210020 is 20012010010201.

It can be written as a sum of positive squares in 2 ways, for example, as 77205147929316 + 24804862280704 = 8786646^2 + 4980448^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102010010209979 and 102010010210006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21076445971 + ... + 21076450810.

It is an arithmetic number, because the mean of its divisors is an integer number (6540724484007).

Almost surely, 2^{102010010210020} is an apocalyptic number.

102010010210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010010210020 is an abundant number, since it is smaller than the sum of its proper divisors (133456071214232).

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

102010010210020 is a wasteful number, since it uses less digits than its factorization.

102010010210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42152896812 (or 42152896799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102010010210020 its reverse (20012010010201), we get a palindrome (122022020220221).

The spelling of 102010010210020 in words is "one hundred two trillion, ten billion, ten million, two hundred ten thousand, twenty".