100211011100121 has 32 divisors (see below), whose sum is σ = 138382335000576. Its totient is φ = 64463651672000.

The previous prime is 100211011100119. The next prime is 100211011100131. The reversal of 100211011100121 is 121001110112001.

It is a cyclic number.

It is not a de Polignac number, because 100211011100121 - 2¹ = 100211011100119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100211011100097 and 100211011100106.

It is not an unprimeable number, because it can be changed into a prime (100211011100131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 782706091 + ... + 782834111.

It is an arithmetic number, because the mean of its divisors is an integer number (4324447968768).

Almost surely, 2^{100211011100121} is an apocalyptic number.

It is an amenable number.

100211011100121 is a deficient number, since it is larger than the sum of its proper divisors (38171323900455).

100211011100121 is a wasteful number, since it uses less digits than its factorization.

100211011100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206333.

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

Adding to 100211011100121 its reverse (121001110112001), we get a palindrome (221212121212122).

The spelling of 100211011100121 in words is "one hundred trillion, two hundred eleven billion, eleven million, one hundred thousand, one hundred twenty-one".