122220122002110 has 288 divisors, whose sum is σ = 362338133976000. Its totient is φ = 28527713786880.

The previous prime is 122220122002087. The next prime is 122220122002133. The reversal of 122220122002110 is 11200221022221.

It is a happy number.

122220122002110 is a `hidden beast` number, since 1 + 22 + 220 + 12 + 200 + 211 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122220122002087) and next prime (122220122002133).

It is a super-3 number, since 3×122220122002110³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112836786 + ... + 113914794.

It is an arithmetic number, because the mean of its divisors is an integer number (1258118520750).

Almost surely, 2^{122220122002110} is an apocalyptic number.

122220122002110 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 122220122002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181169066988000).

122220122002110 is an abundant number, since it is smaller than the sum of its proper divisors (240118011973890).

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

122220122002110 is a wasteful number, since it uses less digits than its factorization.

122220122002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078432 (or 1078418 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122220122002110 its reverse (11200221022221), we get a palindrome (133420343024331).

The spelling of 122220122002110 in words is "one hundred twenty-two trillion, two hundred twenty billion, one hundred twenty-two million, two thousand, one hundred ten".