102210002010 has 64 divisors (see below), whose sum is σ = 286905283200. Its totient is φ = 25821472896.

The previous prime is 102210001979. The next prime is 102210002101. The reversal of 102210002010 is 10200012201.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102210001983 and 102210002001.

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, 9956859 + ... + 9967118.

It is an arithmetic number, because the mean of its divisors is an integer number (4482895050).

Almost surely, 2^102210002010 is an apocalyptic number.

102210002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102210002010 is an abundant number, since it is smaller than the sum of its proper divisors (184695281190).

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

102210002010 is a wasteful number, since it uses less digits than its factorization.

102210002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19924012 (or 19924006 counting only the distinct ones).

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

Adding to 102210002010 its reverse (10200012201), we get a palindrome (112410014211).

The spelling of 102210002010 in words is "one hundred two billion, two hundred ten million, two thousand, ten".