110112120220100 has 36 divisors (see below), whose sum is σ = 239254020551700. Its totient is φ = 43987572572160.

The previous prime is 110112120220079. The next prime is 110112120220121. The reversal of 110112120220100 is 1022021211011.

It is an interprime number because it is at equal distance from previous prime (110112120220079) and next prime (110112120220121).

It can be written as a sum of positive squares in 6 ways, for example, as 13729677908164 + 96382442311936 = 3705358^2 + 9817456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 715866665 + ... + 716020464.

It is an arithmetic number, because the mean of its divisors is an integer number (6645945015325).

Almost surely, 2^{110112120220100} is an apocalyptic number.

110112120220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110112120220100 is an abundant number, since it is smaller than the sum of its proper divisors (129141900331600).

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

110112120220100 is a wasteful number, since it uses less digits than its factorization.

110112120220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431887912 (or 1431887905 counting only the distinct ones).

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

Adding to 110112120220100 its reverse (1022021211011), we get a palindrome (111134141431111).

The spelling of 110112120220100 in words is "one hundred ten trillion, one hundred twelve billion, one hundred twenty million, two hundred twenty thousand, one hundred".