121110100002 has 48 divisors (see below), whose sum is σ = 270190622520. Its totient is φ = 39177893376.

The previous prime is 121110099977. The next prime is 121110100057. The reversal of 121110100002 is 200001011121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 78641545761 + 42468554241 = 280431^2 + 206079^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25338 + ... + 492810.

Almost surely, 2^121110100002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121110100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135095311260).

121110100002 is an abundant number, since it is smaller than the sum of its proper divisors (149080522518).

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

121110100002 is a wasteful number, since it uses less digits than its factorization.

121110100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467907 (or 467904 counting only the distinct ones).

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

Adding to 121110100002 its reverse (200001011121), we get a palindrome (321111111123).

The spelling of 121110100002 in words is "one hundred twenty-one billion, one hundred ten million, one hundred thousand, two".