110201010120900 has 108 divisors (see below), whose sum is σ = 345464124232500. Its totient is φ = 29383092264960.

The previous prime is 110201010120899. The next prime is 110201010121001. The reversal of 110201010120900 is 9021010102011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 42490790102016 + 67710220018884 = 6518496^2 + 8228622^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1119925 + ... + 14888124.

Almost surely, 2^{110201010120900} is an apocalyptic number.

110201010120900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110201010120900 is an abundant number, since it is smaller than the sum of its proper divisors (235263114111600).

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

110201010120900 is a wasteful number, since it uses less digits than its factorization.

110201010120900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16015718 (or 16015708 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 110201010120900 its reverse (9021010102011), we get a palindrome (119222020222911).

The spelling of 110201010120900 in words is "one hundred ten trillion, two hundred one billion, ten million, one hundred twenty thousand, nine hundred".