102120002010 has 96 divisors (see below), whose sum is σ = 289381292928. Its totient is φ = 24834349440.

The previous prime is 102120001967. The next prime is 102120002011. The reversal of 102120002010 is 10200021201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102120001983 and 102120002001.

It is not an unprimeable number, because it can be changed into a prime (102120002011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428686 + ... + 622905.

It is an arithmetic number, because the mean of its divisors is an integer number (3014388468).

Almost surely, 2^102120002010 is an apocalyptic number.

102120002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102120002010 is an abundant number, since it is smaller than the sum of its proper divisors (187261290918).

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

102120002010 is a wasteful number, since it uses less digits than its factorization.

102120002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051700 (or 1051697 counting only the distinct ones).

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

Adding to 102120002010 its reverse (10200021201), we get a palindrome (112320023211).

The spelling of 102120002010 in words is "one hundred two billion, one hundred twenty million, two thousand, ten".