110102212000000 has 504 divisors, whose sum is σ = 310026119114880. Its totient is φ = 38656128000000.

The previous prime is 110102211999959. The next prime is 110102212000003. The reversal of 110102212000000 is 212201011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (110102212000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1275956857 + ... + 1276043143.

It is an arithmetic number, because the mean of its divisors is an integer number (615131188720).

Almost surely, 2^{110102212000000} is an apocalyptic number.

110102212000000 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 110102212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155013059557440).

110102212000000 is an abundant number, since it is smaller than the sum of its proper divisors (199923907114880).

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

110102212000000 is an frugal number, since it uses more digits than its factorization.

110102212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86373 (or 86334 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110102212000000 its reverse (212201011), we get a palindrome (110102424201011).

The spelling of 110102212000000 in words is "one hundred ten trillion, one hundred two billion, two hundred twelve million", and thus it is an aban number.