21122222112101 has 32 divisors (see below), whose sum is σ = 24727114809216. Its totient is φ = 17829871360000.

The previous prime is 21122222112097. The next prime is 21122222112149. The reversal of 21122222112101 is 10121122222112.

It is a cyclic number.

It is not a de Polignac number, because 21122222112101 - 2² = 21122222112097 is a prime.

It is a super-2 number, since 2×21122222112101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122222112161) 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, 3317306 + ... + 7297188.

It is an arithmetic number, because the mean of its divisors is an integer number (772722337788).

Almost surely, 2^{21122222112101} is an apocalyptic number.

It is an amenable number.

21122222112101 is a deficient number, since it is larger than the sum of its proper divisors (3604892697115).

21122222112101 is a wasteful number, since it uses less digits than its factorization.

21122222112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980293.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 21122222112101 its reverse (10121122222112), we get a palindrome (31243344334213).

It can be divided in two parts, 21122222112 and 101, that multiplied together give a palindrome (2133344433312).

The spelling of 21122222112101 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred twelve thousand, one hundred one".