110121202000 has 80 divisors (see below), whose sum is σ = 266481028944. Its totient is φ = 44014080000.

The previous prime is 110121201997. The next prime is 110121202001. The reversal of 110121202000 is 202121011.

It can be written as a sum of positive squares in 8 ways, for example, as 2807304256 + 107313897744 = 52984^2 + 327588^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121202001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2621160 + ... + 2662840.

Almost surely, 2^110121202000 is an apocalyptic number.

110121202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110121202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133240514472).

110121202000 is an abundant number, since it is smaller than the sum of its proper divisors (156359826944).

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

110121202000 is a wasteful number, since it uses less digits than its factorization.

110121202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43025 (or 43009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110121202000 its reverse (202121011), we get a palindrome (110323323011).

The spelling of 110121202000 in words is "one hundred ten billion, one hundred twenty-one million, two hundred two thousand".