110021010100200 has 72 divisors (see below), whose sum is σ = 369487225592550. Its totient is φ = 29338936026240.

The previous prime is 110021010100189. The next prime is 110021010100201. The reversal of 110021010100200 is 2001010120011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 60280348177764 + 49740661922436 = 7764042^2 + 7052706^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110021010100201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30561389895 + ... + 30561393494.

Almost surely, 2^{110021010100200} is an apocalyptic number.

110021010100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110021010100200 is an abundant number, since it is smaller than the sum of its proper divisors (259466215492350).

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

110021010100200 is a wasteful number, since it uses less digits than its factorization.

110021010100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61122783411 (or 61122783399 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110021010100200 its reverse (2001010120011), we get a palindrome (112022020220211).

The spelling of 110021010100200 in words is "one hundred ten trillion, twenty-one billion, ten million, one hundred thousand, two hundred".