110212212110100 has 72 divisors (see below), whose sum is σ = 318882195420768. Its totient is φ = 29389782364800.

The previous prime is 110212212110089. The next prime is 110212212110131. The reversal of 110212212110100 is 1011212212011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110212212110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71798827 + ... + 73317773.

It is an arithmetic number, because the mean of its divisors is an integer number (4428919380844).

Almost surely, 2^{110212212110100} is an apocalyptic number.

110212212110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110212212110100 is an abundant number, since it is smaller than the sum of its proper divisors (208669983310668).

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

110212212110100 is a wasteful number, since it uses less digits than its factorization.

110212212110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760825 (or 1760818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110212212110100 its reverse (1011212212011), we get a palindrome (111223424322111).

The spelling of 110212212110100 in words is "one hundred ten trillion, two hundred twelve billion, two hundred twelve million, one hundred ten thousand, one hundred".