22100011002121 has 8 divisors (see below), whose sum is σ = 23800057883784. Its totient is φ = 20399970696960.

The previous prime is 22100011002109. The next prime is 22100011002197. The reversal of 22100011002121 is 12120011000122.

It can be written as a sum of positive squares in 4 ways, for example, as 3092547342096 + 19007463660025 = 1758564^2 + 4359755^2 .

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 22100011002121 - 2⁵ = 22100011002089 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (22100011000121) 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 7 ways as a sum of consecutive naturals, for example, 7030401 + ... + 9676081.

It is an arithmetic number, because the mean of its divisors is an integer number (2975007235473).

Almost surely, 2^{22100011002121} is an apocalyptic number.

It is an amenable number.

22100011002121 is a deficient number, since it is larger than the sum of its proper divisors (1700046881663).

22100011002121 is a wasteful number, since it uses less digits than its factorization.

22100011002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288251.

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

Adding to 22100011002121 its reverse (12120011000122), we get a palindrome (34220022002243).

The spelling of 22100011002121 in words is "twenty-two trillion, one hundred billion, eleven million, two thousand, one hundred twenty-one".