21122112101 has 16 divisors (see below), whose sum is σ = 21777236208. Its totient is φ = 20477184000.

The previous prime is 21122112029. The next prime is 21122112103. The reversal of 21122112101 is 10121122112.

It can be written as a sum of positive squares in 8 ways, for example, as 1474483201 + 19647628900 = 38399^2 + 140170^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122112101 - 2¹⁴ = 21122095717 is a prime.

It is a super-2 number, since 2×21122112101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122112103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3600911 + ... + 3606771.

It is an arithmetic number, because the mean of its divisors is an integer number (1361077263).

Almost surely, 2^21122112101 is an apocalyptic number.

It is an amenable number.

21122112101 is a deficient number, since it is larger than the sum of its proper divisors (655124107).

21122112101 is an equidigital number, since it uses as much as digits as its factorization.

21122112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21122112101 its reverse (10121122112), we get a palindrome (31243234213).

It can be divided in two parts, 21122112 and 101, that multiplied together give a palindrome (2133333312).

The spelling of 21122112101 in words is "twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred one".