21122122102101 has 6 divisors (see below), whose sum is σ = 30509731925270. Its totient is φ = 14081414734728.

The previous prime is 21122122102099. The next prime is 21122122102117. The reversal of 21122122102101 is 10120122122112.

21122122102101 is a `hidden beast` number, since 2 + 11 + 221 + 221 + 0 + 210 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15324476793201 + 5797645308900 = 3914649^2 + 2407830^2 .

It is not a de Polignac number, because 21122122102101 - 2¹ = 21122122102099 is a prime.

It is a super-2 number, since 2×21122122102101² (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 (21122122102181) 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 5 ways as a sum of consecutive naturals, for example, 1173451227886 + ... + 1173451227903.

Almost surely, 2^{21122122102101} is an apocalyptic number.

It is an amenable number.

21122122102101 is a deficient number, since it is larger than the sum of its proper divisors (9387609823169).

21122122102101 is a wasteful number, since it uses less digits than its factorization.

21122122102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346902455795 (or 2346902455792 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21122122102101 its reverse (10120122122112), we get a palindrome (31242244224213).

The spelling of 21122122102101 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred two thousand, one hundred one".