102102120020 has 96 divisors (see below), whose sum is σ = 228559968000. Its totient is φ = 38179620864.

The previous prime is 102102120017. The next prime is 102102120031. The reversal of 102102120020 is 20021201201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102102119983 and 102102120010.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 59742926 + ... + 59744634.

It is an arithmetic number, because the mean of its divisors is an integer number (2380833000).

Almost surely, 2^102102120020 is an apocalyptic number.

102102120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114279984000).

102102120020 is an abundant number, since it is smaller than the sum of its proper divisors (126457847980).

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

102102120020 is a wasteful number, since it uses less digits than its factorization.

102102120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102102120020 its reverse (20021201201), we get a palindrome (122123321221).

The spelling of 102102120020 in words is "one hundred two billion, one hundred two million, one hundred twenty thousand, twenty".