21122102101011 has 16 divisors (see below), whose sum is σ = 28755736289280. Its totient is φ = 13788006851520.

The previous prime is 21122102100991. The next prime is 21122102101031. The reversal of 21122102101011 is 11010120122112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21122102100991) and next prime (21122102101031).

It is not a de Polignac number, because 21122102101011 - 2¹⁸ = 21122101838867 is a prime.

It is a super-2 number, since 2×21122102101011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122102101031) 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, 383996755 + ... + 384051756.

It is an arithmetic number, because the mean of its divisors is an integer number (1797233518080).

Almost surely, 2^{21122102101011} is an apocalyptic number.

21122102101011 is a deficient number, since it is larger than the sum of its proper divisors (7633634188269).

21122102101011 is a wasteful number, since it uses less digits than its factorization.

21122102101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768048706.

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

Adding to 21122102101011 its reverse (11010120122112), we get a palindrome (32132222223123).

The spelling of 21122102101011 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred two million, one hundred one thousand, eleven".