110020212120100 has 72 divisors (see below), whose sum is σ = 240159139687208. Its totient is φ = 43747937740800.

The previous prime is 110020212120083. The next prime is 110020212120103. The reversal of 110020212120100 is 1021212020011.

It can be written as a sum of positive squares in 12 ways, for example, as 75357226169316 + 34662985950784 = 8680854^2 + 5887528^2 .

It is a super-4 number, since 4×110020212120100⁴ (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (110020212120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7407670 + ... + 16580530.

Almost surely, 2^{110020212120100} is an apocalyptic number.

110020212120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020212120100 is an abundant number, since it is smaller than the sum of its proper divisors (130138927567108).

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

110020212120100 is a wasteful number, since it uses less digits than its factorization.

110020212120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9173585 (or 9173578 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110020212120100 its reverse (1021212020011), we get a palindrome (111041424140111).

The spelling of 110020212120100 in words is "one hundred ten trillion, twenty billion, two hundred twelve million, one hundred twenty thousand, one hundred".