122102200111100 has 144 divisors (see below), whose sum is σ = 295423161707520. Its totient is φ = 43423131667200.

The previous prime is 122102200111061. The next prime is 122102200111103. The reversal of 122102200111100 is 1111002201221.

It is a super-2 number, since 2×122102200111100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102200111103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67297022 + ... + 69087578.

It is an arithmetic number, because the mean of its divisors is an integer number (2051549734080).

Almost surely, 2^{122102200111100} is an apocalyptic number.

122102200111100 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 122102200111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147711580853760).

122102200111100 is an abundant number, since it is smaller than the sum of its proper divisors (173320961596420).

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

122102200111100 is a wasteful number, since it uses less digits than its factorization.

122102200111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791948 (or 1791941 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122102200111100 its reverse (1111002201221), we get a palindrome (123213202312321).

The spelling of 122102200111100 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred million, one hundred eleven thousand, one hundred".