102102201120 has 96 divisors (see below), whose sum is σ = 321758656128. Its totient is φ = 27215679488.

The previous prime is 102102201119. The next prime is 102102201133. The reversal of 102102201120 is 21102201201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102102201096 and 102102201105.

It is an unprimeable number.

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, 1116157 + ... + 1204163.

It is an arithmetic number, because the mean of its divisors is an integer number (3351652668).

Almost surely, 2^102102201120 is an apocalyptic number.

102102201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102201120 is an abundant number, since it is smaller than the sum of its proper divisors (219656455008).

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

102102201120 is a wasteful number, since it uses less digits than its factorization.

102102201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90442 (or 90434 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102102201120 its reverse (21102201201), we get a palindrome (123204402321).

The spelling of 102102201120 in words is "one hundred two billion, one hundred two million, two hundred one thousand, one hundred twenty".