100001121002211 has 64 divisors (see below), whose sum is σ = 165881768693760. Its totient is φ = 52646759792640.

The previous prime is 100001121002191. The next prime is 100001121002221. The reversal of 100001121002211 is 112200121100001.

It is not a de Polignac number, because 100001121002211 - 2²¹ = 100001118905059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100001121002221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53701806 + ... + 55532748.

It is an arithmetic number, because the mean of its divisors is an integer number (2591902635840).

Almost surely, 2^{100001121002211} is an apocalyptic number.

100001121002211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100001121002211 is a deficient number, since it is larger than the sum of its proper divisors (65880647691549).

100001121002211 is a wasteful number, since it uses less digits than its factorization.

100001121002211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838476.

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

Adding to 100001121002211 its reverse (112200121100001), we get a palindrome (212201242102212).

The spelling of 100001121002211 in words is "one hundred trillion, one billion, one hundred twenty-one million, two thousand, two hundred eleven".