1000121102211 has 48 divisors (see below), whose sum is σ = 1750579914240. Its totient is φ = 501628115520.

The previous prime is 1000121102203. The next prime is 1000121102249. The reversal of 1000121102211 is 1122011210001.

It is not a de Polignac number, because 1000121102211 - 2³ = 1000121102203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000121102291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10616971 + ... + 10710756.

It is an arithmetic number, because the mean of its divisors is an integer number (36470414880).

Almost surely, 2^{1000121102211} is an apocalyptic number.

1000121102211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000121102211 is a deficient number, since it is larger than the sum of its proper divisors (750458812029).

1000121102211 is a wasteful number, since it uses less digits than its factorization.

1000121102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21327784 (or 21327777 counting only the distinct ones).

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

Adding to 1000121102211 its reverse (1122011210001), we get a palindrome (2122132312212).

The spelling of 1000121102211 in words is "one trillion, one hundred twenty-one million, one hundred two thousand, two hundred eleven".