122110220100 has 144 divisors (see below), whose sum is σ = 387555569856. Its totient is φ = 29438784000.

The previous prime is 122110220087. The next prime is 122110220117. The reversal of 122110220100 is 1022011221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495082 + ... + 699518.

It is an arithmetic number, because the mean of its divisors is an integer number (2691358124).

Almost surely, 2^122110220100 is an apocalyptic number.

122110220100 is a gapful number since it is divisible by the number (10) 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 122110220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193777784928).

122110220100 is an abundant number, since it is smaller than the sum of its proper divisors (265445349756).

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

122110220100 is a wasteful number, since it uses less digits than its factorization.

122110220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204646 (or 204639 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122110220100 its reverse (1022011221), we get a palindrome (123132231321).

It can be divided in two parts, 12 and 2110220100, that added together give a palindrome (2110220112).

The spelling of 122110220100 in words is "one hundred twenty-two billion, one hundred ten million, two hundred twenty thousand, one hundred".