102102012210 has 256 divisors, whose sum is σ = 277379002368. Its totient is φ = 23843635200.

The previous prime is 102102012193. The next prime is 102102012217. The reversal of 102102012210 is 12210201201.

It is not an unprimeable number, because it can be changed into a prime (102102012217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 302973162 + ... + 302973498.

It is an arithmetic number, because the mean of its divisors is an integer number (1083511728).

Almost surely, 2^102102012210 is an apocalyptic number.

102102012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138689501184).

102102012210 is an abundant number, since it is smaller than the sum of its proper divisors (175276990158).

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

102102012210 is a wasteful number, since it uses less digits than its factorization.

102102012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689.

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

Adding to 102102012210 its reverse (12210201201), we get a palindrome (114312213411).

The spelling of 102102012210 in words is "one hundred two billion, one hundred two million, twelve thousand, two hundred ten".