100011121012002 has 64 divisors (see below), whose sum is σ = 212035786922880. Its totient is φ = 31360325861376.

The previous prime is 100011121011979. The next prime is 100011121012013. The reversal of 100011121012002 is 200210121110001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3903268 + ... + 14671664.

It is an arithmetic number, because the mean of its divisors is an integer number (3313059170670).

Almost surely, 2^{100011121012002} is an apocalyptic number.

100011121012002 is an abundant number, since it is smaller than the sum of its proper divisors (112024665910878).

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

100011121012002 is a wasteful number, since it uses less digits than its factorization.

100011121012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10768995.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100011121012002 its reverse (200210121110001), we get a palindrome (300221242122003).

The spelling of 100011121012002 in words is "one hundred trillion, eleven billion, one hundred twenty-one million, twelve thousand, two".