100002211121000 has 64 divisors (see below), whose sum is σ = 234156833614080. Its totient is φ = 39974959732800.

The previous prime is 100002211120969. The next prime is 100002211121017. The reversal of 100002211121000 is 121112200001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30862124 + ... + 33948123.

It is an arithmetic number, because the mean of its divisors is an integer number (3658700525220).

Almost surely, 2^{100002211121000} is an apocalyptic number.

100002211121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002211121000 is an abundant number, since it is smaller than the sum of its proper divisors (134154622493080).

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

100002211121000 is a wasteful number, since it uses less digits than its factorization.

100002211121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64811811 (or 64811797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100002211121000 its reverse (121112200001), we get a palindrome (100123323321001).

The spelling of 100002211121000 in words is "one hundred trillion, two billion, two hundred eleven million, one hundred twenty-one thousand".