21122122122101 has 64 divisors (see below), whose sum is σ = 28644812324352. Its totient is φ = 15040080000000.

The previous prime is 21122122122091. The next prime is 21122122122121. The reversal of 21122122122101 is 10122122122112.

It is not a de Polignac number, because 21122122122101 - 2⁶ = 21122122122037 is a prime.

It is a super-2 number, since 2×21122122122101² (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 (21122122122121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1000990451 + ... + 1001011551.

It is an arithmetic number, because the mean of its divisors is an integer number (447575192568).

Almost surely, 2^{21122122122101} is an apocalyptic number.

It is an amenable number.

21122122122101 is a deficient number, since it is larger than the sum of its proper divisors (7522690202251).

21122122122101 is a wasteful number, since it uses less digits than its factorization.

21122122122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31134.

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

Adding to 21122122122101 its reverse (10122122122112), we get a palindrome (31244244244213).

It can be divided in two parts, 211221 and 22122101, that added together give a palindrome (22333322).

The spelling of 21122122122101 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred one".