110212100000 has 144 divisors (see below), whose sum is σ = 277832889432. Its totient is φ = 43008000000.

The previous prime is 110212099937. The next prime is 110212100003. The reversal of 110212100000 is 1212011.

It can be written as a sum of positive squares in 12 ways, for example, as 65820981136 + 44391118864 = 256556^2 + 210692^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (110212100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4086560 + ... + 4113440.

Almost surely, 2^110212100000 is an apocalyptic number.

110212100000 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 110212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138916444716).

110212100000 is an abundant number, since it is smaller than the sum of its proper divisors (167620789432).

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

110212100000 is an frugal number, since it uses more digits than its factorization.

110212100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26957 (or 26929 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110212100000 its reverse (1212011), we get a palindrome (110213312011).

The spelling of 110212100000 in words is "one hundred ten billion, two hundred twelve million, one hundred thousand".