122110100112 has 320 divisors, whose sum is σ = 434996158464. Its totient is φ = 28485457920.

The previous prime is 122110100111. The next prime is 122110100113. The reversal of 122110100112 is 211001011221.

It is an interprime number because it is at equal distance from previous prime (122110100111) and next prime (122110100113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (122110100111) 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, 1743433 + ... + 1812119.

Almost surely, 2^122110100112 is an apocalyptic number.

122110100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122110100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217498079232).

122110100112 is an abundant number, since it is smaller than the sum of its proper divisors (312886058352).

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

122110100112 is a wasteful number, since it uses less digits than its factorization.

122110100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68766 (or 68760 counting only the distinct ones).

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

Adding to 122110100112 its reverse (211001011221), we get a palindrome (333111111333).

It can be divided in two parts, 122110 and 100112, that added together give a palindrome (222222).

The spelling of 122110100112 in words is "one hundred twenty-two billion, one hundred ten million, one hundred thousand, one hundred twelve".