122112100110 has 768 divisors, whose sum is σ = 415379607552. Its totient is φ = 22335160320.

The previous prime is 122112100081. The next prime is 122112100111. The reversal of 122112100110 is 11001211221.

It is a super-2 number, since 2×122112100110² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112100111) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1185554319 + ... + 1185554421.

It is an arithmetic number, because the mean of its divisors is an integer number (540858864).

Almost surely, 2^122112100110 is an apocalyptic number.

122112100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122112100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207689803776).

122112100110 is an abundant number, since it is smaller than the sum of its proper divisors (293267507442).

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

122112100110 is a wasteful number, since it uses less digits than its factorization.

122112100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122112100110 its reverse (11001211221), we get a palindrome (133113311331).

Subtracting from 122112100110 its reverse (11001211221), we obtain a square (111110888889 = 333333²).

It can be divided in two parts, 122112 and 100110, that added together give a palindrome (222222).

The spelling of 122112100110 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred thousand, one hundred ten".