21100011122121 has 8 divisors (see below), whose sum is σ = 28159229812224. Its totient is φ = 14053733256720.

The previous prime is 21100011122087. The next prime is 21100011122123. The reversal of 21100011122121 is 12122111000112.

It is a happy number.

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

It is not a de Polignac number, because 21100011122121 - 2¹⁷ = 21100010991049 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21100011122121.

It is not an unprimeable number, because it can be changed into a prime (21100011122123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3235202370 + ... + 3235208891.

It is an arithmetic number, because the mean of its divisors is an integer number (3519903726528).

Almost surely, 2^{21100011122121} is an apocalyptic number.

It is an amenable number.

21100011122121 is a deficient number, since it is larger than the sum of its proper divisors (7059218690103).

21100011122121 is a wasteful number, since it uses less digits than its factorization.

21100011122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6470412351.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21100011122121 its reverse (12122111000112), we get a palindrome (33222122122233).

The spelling of 21100011122121 in words is "twenty-one trillion, one hundred billion, eleven million, one hundred twenty-two thousand, one hundred twenty-one".