21100121214331 has 16 divisors (see below), whose sum is σ = 22567088701728. Its totient is φ = 19658320704000.

The previous prime is 21100121214317. The next prime is 21100121214373. The reversal of 21100121214331 is 13341212100112.

It is a cyclic number.

It is not a de Polignac number, because 21100121214331 - 2²¹ = 21100119117179 is a prime.

It is a super-3 number, since 3×21100121214331³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (21100121214131) 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 15 ways as a sum of consecutive naturals, for example, 7224376 + ... + 9715546.

It is an arithmetic number, because the mean of its divisors is an integer number (1410443043858).

Almost surely, 2^{21100121214331} is an apocalyptic number.

21100121214331 is a deficient number, since it is larger than the sum of its proper divisors (1466967487397).

21100121214331 is a wasteful number, since it uses less digits than its factorization.

21100121214331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496222.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 21100121214331 its reverse (13341212100112), we get a palindrome (34441333314443).

The spelling of 21100121214331 in words is "twenty-one trillion, one hundred billion, one hundred twenty-one million, two hundred fourteen thousand, three hundred thirty-one".