122121202110 has 128 divisors (see below), whose sum is σ = 317124288000. Its totient is φ = 29992343040.

The previous prime is 122121202069. The next prime is 122121202111. The reversal of 122121202110 is 11202121221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122121202110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121202111) 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, 41102925 + ... + 41105895.

It is an arithmetic number, because the mean of its divisors is an integer number (2477533500).

Almost surely, 2^122121202110 is an apocalyptic number.

122121202110 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 122121202110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158562144000).

122121202110 is an abundant number, since it is smaller than the sum of its proper divisors (195003085890).

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

122121202110 is a wasteful number, since it uses less digits than its factorization.

122121202110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122121202110 its reverse (11202121221), we get a palindrome (133323323331).

The spelling of 122121202110 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred two thousand, one hundred ten".