102012201102210 has 384 divisors, whose sum is σ = 287983414996992. Its totient is φ = 22652642995200.

The previous prime is 102012201102209. The next prime is 102012201102247. The reversal of 102012201102210 is 12201102210201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102012201102210.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31186852875 + ... + 31186856145.

It is an arithmetic number, because the mean of its divisors is an integer number (749956809888).

Almost surely, 2^{102012201102210} is an apocalyptic number.

102012201102210 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 102012201102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143991707498496).

102012201102210 is an abundant number, since it is smaller than the sum of its proper divisors (185971213894782).

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

102012201102210 is a wasteful number, since it uses less digits than its factorization.

102012201102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102012201102210 its reverse (12201102210201), we get a palindrome (114213303312411).

The spelling of 102012201102210 in words is "one hundred two trillion, twelve billion, two hundred one million, one hundred two thousand, two hundred ten".