21100011200121 has 8 divisors (see below), whose sum is σ = 32152398019264. Its totient is φ = 12057149257200.

The previous prime is 21100011200101. The next prime is 21100011200131. The reversal of 21100011200121 is 12100211000112.

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

It is not a de Polignac number, because 21100011200121 - 2¹⁴ = 21100011183737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21100011200097 and 21100011200106.

It is not an unprimeable number, because it can be changed into a prime (21100011200101) 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, 502381219030 + ... + 502381219071.

It is an arithmetic number, because the mean of its divisors is an integer number (4019049752408).

Almost surely, 2^{21100011200121} is an apocalyptic number.

21100011200121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21100011200121 is a deficient number, since it is larger than the sum of its proper divisors (11052386819143).

21100011200121 is a wasteful number, since it uses less digits than its factorization.

21100011200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004762438111.

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

Adding to 21100011200121 its reverse (12100211000112), we get a palindrome (33200222200233).

The spelling of 21100011200121 in words is "twenty-one trillion, one hundred billion, eleven million, two hundred thousand, one hundred twenty-one".