110021101212100 has 144 divisors (see below), whose sum is σ = 258770795765328. Its totient is φ = 40360951388160.

The previous prime is 110021101212097. The next prime is 110021101212103. The reversal of 110021101212100 is 1212101120011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110021101212097) and next prime (110021101212103).

It can be written as a sum of positive squares in 24 ways, for example, as 104427838372036 + 5593262840064 = 10218994^2 + 2365008^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (110021101212103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4620199794 + ... + 4620223606.

It is an arithmetic number, because the mean of its divisors is an integer number (1797019415037).

Almost surely, 2^{110021101212100} is an apocalyptic number.

110021101212100 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 110021101212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129385397882664).

110021101212100 is an abundant number, since it is smaller than the sum of its proper divisors (148749694553228).

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

110021101212100 is a wasteful number, since it uses less digits than its factorization.

110021101212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46634 (or 46627 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110021101212100 its reverse (1212101120011), we get a palindrome (111233202332111).

The spelling of 110021101212100 in words is "one hundred ten trillion, twenty-one billion, one hundred one million, two hundred twelve thousand, one hundred".