102210100000 has 144 divisors (see below), whose sum is σ = 259637882112. Its totient is φ = 39564000000.

The previous prime is 102210099997. The next prime is 102210100019. The reversal of 102210100000 is 1012201.

It is a super-3 number, since 3×102210100000³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3083515 + ... + 3116485.

It is an arithmetic number, because the mean of its divisors is an integer number (1803040848).

Almost surely, 2^102210100000 is an apocalyptic number.

102210100000 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 102210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129818941056).

102210100000 is an abundant number, since it is smaller than the sum of its proper divisors (157427782112).

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

102210100000 is an frugal number, since it uses more digits than its factorization.

102210100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33037 (or 33009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 102210100000 its reverse (1012201), we get a palindrome (102211112201).

The spelling of 102210100000 in words is "one hundred two billion, two hundred ten million, one hundred thousand".