110111022012100 has 18 divisors (see below), whose sum is σ = 238940917766474. Its totient is φ = 44044408804800.

The previous prime is 110111022012067. The next prime is 110111022012119. The reversal of 110111022012100 is 1210220111011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1522242699264 + 108588779312836 = 1233792^2 + 10420594^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 550555109961 + ... + 550555110160.

Almost surely, 2^{110111022012100} is an apocalyptic number.

110111022012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110111022012100 is an abundant number, since it is smaller than the sum of its proper divisors (128829895754374).

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

110111022012100 is a wasteful number, since it uses less digits than its factorization.

110111022012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101110220135 (or 1101110220128 counting only the distinct ones).

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

Adding to 110111022012100 its reverse (1210220111011), we get a palindrome (111321242123111).

The spelling of 110111022012100 in words is "one hundred ten trillion, one hundred eleven billion, twenty-two million, twelve thousand, one hundred".