102102010211120 has 80 divisors (see below), whose sum is σ = 238562593873920. Its totient is φ = 40639072733952.

The previous prime is 102102010211083. The next prime is 102102010211129. The reversal of 102102010211120 is 21112010201201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 102102010211095 and 102102010211104.

It is not an unprimeable number, because it can be changed into a prime (102102010211129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9458177 + ... + 17136543.

It is an arithmetic number, because the mean of its divisors is an integer number (2982032423424).

Almost surely, 2^{102102010211120} is an apocalyptic number.

102102010211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102010211120 is an abundant number, since it is smaller than the sum of its proper divisors (136460583662800).

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

102102010211120 is a wasteful number, since it uses less digits than its factorization.

102102010211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7679202 (or 7679196 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102102010211120 its reverse (21112010201201), we get a palindrome (123214020412321).

The spelling of 102102010211120 in words is "one hundred two trillion, one hundred two billion, ten million, two hundred eleven thousand, one hundred twenty".