122112110100220 has 24 divisors (see below), whose sum is σ = 256436188120224. Its totient is φ = 48844699866816.

The previous prime is 122112110100199. The next prime is 122112110100223. The reversal of 122112110100220 is 22001011211221.

It is a super-2 number, since 2×122112110100220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112110100194 and 122112110100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112110100223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1929864 + ... + 15746383.

It is an arithmetic number, because the mean of its divisors is an integer number (10684841171676).

Almost surely, 2^{122112110100220} is an apocalyptic number.

122112110100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112110100220 is an abundant number, since it is smaller than the sum of its proper divisors (134324078020004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122112110100220 is a wasteful number, since it uses less digits than its factorization.

122112110100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18021669 (or 18021667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122112110100220 its reverse (22001011211221), we get a palindrome (144113121311441).

The spelling of 122112110100220 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred ten million, one hundred thousand, two hundred twenty".