110212211201000 has 128 divisors (see below), whose sum is σ = 259033956480000. Its totient is φ = 43890543424000.

The previous prime is 110212211200967. The next prime is 110212211201077. The reversal of 110212211201000 is 102112212011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1111061405 + ... + 1111160595.

It is an arithmetic number, because the mean of its divisors is an integer number (2023702785000).

Almost surely, 2^{110212211201000} is an apocalyptic number.

110212211201000 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 110212211201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129516978240000).

110212211201000 is an abundant number, since it is smaller than the sum of its proper divisors (148821745279000).

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

110212211201000 is a wasteful number, since it uses less digits than its factorization.

110212211201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104100 (or 104086 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110212211201000 its reverse (102112212011), we get a palindrome (110314323413011).

It can be divided in two parts, 11021221 and 1201000, that added together give a palindrome (12222221).

The spelling of 110212211201000 in words is "one hundred ten trillion, two hundred twelve billion, two hundred eleven million, two hundred one thousand".