100121220002011 has 8 divisors (see below), whose sum is σ = 107838563152320. Its totient is φ = 92406121257792.

The previous prime is 100121220001963. The next prime is 100121220002071. The reversal of 100121220002011 is 110200022121001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100121220002011 - 2³⁹ = 99571464188123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100121220001982 and 100121220002000.

It is not an unprimeable number, because it can be changed into a prime (100121220002071) 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 7 ways as a sum of consecutive naturals, for example, 561008866 + ... + 561187303.

It is an arithmetic number, because the mean of its divisors is an integer number (13479820394040).

Almost surely, 2^{100121220002011} is an apocalyptic number.

100121220002011 is a deficient number, since it is larger than the sum of its proper divisors (7717343150309).

100121220002011 is a wasteful number, since it uses less digits than its factorization.

100121220002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122203045.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100121220002011 its reverse (110200022121001), we get a palindrome (210321242123012).

The spelling of 100121220002011 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty million, two thousand, eleven".