100100121101211 has 16 divisors (see below), whose sum is σ = 166400201311488. Its totient is φ = 52000062909600.

The previous prime is 100100121101147. The next prime is 100100121101287. The reversal of 100100121101211 is 112101121001001.

It is not a de Polignac number, because 100100121101211 - 2⁶ = 100100121101147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100121101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216666928560 + ... + 216666929021.

It is an arithmetic number, because the mean of its divisors is an integer number (10400012581968).

Almost surely, 2^{100100121101211} is an apocalyptic number.

100100121101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100121101211 is a deficient number, since it is larger than the sum of its proper divisors (66300080210277).

100100121101211 is a wasteful number, since it uses less digits than its factorization.

100100121101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433333857602.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100100121101211 its reverse (112101121001001), we get a palindrome (212201242102212).

The spelling of 100100121101211 in words is "one hundred trillion, one hundred billion, one hundred twenty-one million, one hundred one thousand, two hundred eleven".