102222010000110 has 1024 divisors, whose sum is σ = 347549045760000. Its totient is φ = 18947561472000.

The previous prime is 102222010000031. The next prime is 102222010000151. The reversal of 102222010000110 is 11000010222201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 8112207810 + ... + 8112220410.

It is an arithmetic number, because the mean of its divisors is an integer number (339403365000).

Almost surely, 2^{102222010000110} is an apocalyptic number.

102222010000110 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 102222010000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173774522880000).

102222010000110 is an abundant number, since it is smaller than the sum of its proper divisors (245327035759890).

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

102222010000110 is a wasteful number, since it uses less digits than its factorization.

102222010000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12842 (or 12828 counting only the distinct ones).

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

Adding to 102222010000110 its reverse (11000010222201), we get a palindrome (113222020222311).

The spelling of 102222010000110 in words is "one hundred two trillion, two hundred twenty-two billion, ten million, one hundred ten", and thus it is an aban number.