110100212210000 has 100 divisors (see below), whose sum is σ = 269009164277700. Its totient is φ = 43636046976000.

The previous prime is 110100212209973. The next prime is 110100212210029. The reversal of 110100212210000 is 12212001011.

It can be written as a sum of positive squares in 10 ways, for example, as 45003328236304 + 65096883973696 = 6708452^2 + 8068264^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49414685 + ... + 51594684.

It is an arithmetic number, because the mean of its divisors is an integer number (2690091642777).

Almost surely, 2^{110100212210000} is an apocalyptic number.

110100212210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100212210000 is an abundant number, since it is smaller than the sum of its proper divisors (158908952067700).

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

110100212210000 is a wasteful number, since it uses less digits than its factorization.

110100212210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101009506 (or 101009485 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110100212210000 its reverse (12212001011), we get a palindrome (110112424211011).

The spelling of 110100212210000 in words is "one hundred ten trillion, one hundred billion, two hundred twelve million, two hundred ten thousand".