110211120100000 has 288 divisors, whose sum is σ = 278848061581824. Its totient is φ = 42850080000000.

The previous prime is 110211120099979. The next prime is 110211120100021. The reversal of 110211120100000 is 1021112011.

It is an interprime number because it is at equal distance from previous prime (110211120099979) and next prime (110211120100021).

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

It is a self number, because there is not a number n which added to its sum of digits gives 110211120100000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111050405 + ... + 1111149595.

It is an arithmetic number, because the mean of its divisors is an integer number (968222436048).

Almost surely, 2^{110211120100000} is an apocalyptic number.

110211120100000 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 110211120100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139424030790912).

110211120100000 is an abundant number, since it is smaller than the sum of its proper divisors (168636941481824).

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

110211120100000 is an frugal number, since it uses more digits than its factorization.

110211120100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99538 (or 99510 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110211120100000 its reverse (1021112011), we get a palindrome (110212141212011).

The spelling of 110211120100000 in words is "one hundred ten trillion, two hundred eleven billion, one hundred twenty million, one hundred thousand".