21122121011101 has 16 divisors (see below), whose sum is σ = 23476388925888. Its totient is φ = 18843563872000.

The previous prime is 21122121011053. The next prime is 21122121011113. The reversal of 21122121011101 is 10111012122112.

It is a cyclic number.

It is not a de Polignac number, because 21122121011101 - 2⁷ = 21122121010973 is a prime.

It is a super-2 number, since 2×21122121011101² (a number of 27 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 (21122121011141) 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, 83997511 + ... + 84248596.

It is an arithmetic number, because the mean of its divisors is an integer number (1467274307868).

Almost surely, 2^{21122121011101} is an apocalyptic number.

It is an amenable number.

21122121011101 is a deficient number, since it is larger than the sum of its proper divisors (2354267914787).

21122121011101 is a wasteful number, since it uses less digits than its factorization.

21122121011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168246332.

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

Adding to 21122121011101 its reverse (10111012122112), we get a palindrome (31233133133213).

The spelling of 21122121011101 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-one million, eleven thousand, one hundred one".