100121000000211 has 16 divisors (see below), whose sum is σ = 148331689403520. Its totient is φ = 66745406435400.

The previous prime is 100121000000137. The next prime is 100121000000227. The reversal of 100121000000211 is 112000000121001.

It is a happy number.

It is not a de Polignac number, because 100121000000211 - 2¹⁷ = 100120999869139 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100121000000193 and 100121000000202.

It is not an unprimeable number, because it can be changed into a prime (100121000000291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52572045 + ... + 54443198.

It is an arithmetic number, because the mean of its divisors is an integer number (9270730587720).

Almost surely, 2^{100121000000211} is an apocalyptic number.

100121000000211 is a deficient number, since it is larger than the sum of its proper divisors (48210689403309).

100121000000211 is a wasteful number, since it uses less digits than its factorization.

100121000000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107049903 (or 107049897 counting only the distinct ones).

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

Adding to 100121000000211 its reverse (112000000121001), we get a palindrome (212121000121212).

The spelling of 100121000000211 in words is "one hundred trillion, one hundred twenty-one billion, two hundred eleven", and thus it is an aban number.