21100210311121 has 32 divisors (see below), whose sum is σ = 21807545524128. Its totient is φ = 20403069173760.

The previous prime is 21100210311109. The next prime is 21100210311133. The reversal of 21100210311121 is 12111301200112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21100210311109) and next prime (21100210311133).

It can be written as a sum of positive squares in 16 ways, for example, as 18019693891521 + 3080516419600 = 4244961^2 + 1755140^2 .

It is a cyclic number.

It is not a de Polignac number, because 21100210311121 - 2¹⁹ = 21100209786833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21100210311095 and 21100210311104.

It is not an unprimeable number, because it can be changed into a prime (21100210311221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2102237715 + ... + 2102247751.

It is an arithmetic number, because the mean of its divisors is an integer number (681485797629).

Almost surely, 2^{21100210311121} is an apocalyptic number.

It is an amenable number.

21100210311121 is a deficient number, since it is larger than the sum of its proper divisors (707335213007).

21100210311121 is a wasteful number, since it uses less digits than its factorization.

21100210311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11301.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 21100210311121 its reverse (12111301200112), we get a palindrome (33211511511233).

The spelling of 21100210311121 in words is "twenty-one trillion, one hundred billion, two hundred ten million, three hundred eleven thousand, one hundred twenty-one".