110020212112100 has 36 divisors (see below), whose sum is σ = 239310947928948. Its totient is φ = 43903552560000.

The previous prime is 110020212112087. The next prime is 110020212112103. The reversal of 110020212112100 is 1211212020011.

It can be written as a sum of positive squares in 6 ways, for example, as 36917848912036 + 73102363200064 = 6076006^2 + 8549992^2 .

It is not an unprimeable number, because it can be changed into a prime (110020212112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1306611251 + ... + 1306695450.

Almost surely, 2^{110020212112100} is an apocalyptic number.

110020212112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020212112100 is an abundant number, since it is smaller than the sum of its proper divisors (129290735816848).

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

110020212112100 is a wasteful number, since it uses less digits than its factorization.

110020212112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613307136 (or 2613307129 counting only the distinct ones).

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

Adding to 110020212112100 its reverse (1211212020011), we get a palindrome (111231424132111).

The spelling of 110020212112100 in words is "one hundred ten trillion, twenty billion, two hundred twelve million, one hundred twelve thousand, one hundred".