122110212011100 has 432 divisors, whose sum is σ = 376706978793600. Its totient is φ = 30516159421440.

The previous prime is 122110212011023. The next prime is 122110212011119. The reversal of 122110212011100 is 1110212011221.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122110212011100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3911391291 + ... + 3911422509.

Almost surely, 2^{122110212011100} is an apocalyptic number.

122110212011100 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 122110212011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188353489396800).

122110212011100 is an abundant number, since it is smaller than the sum of its proper divisors (254596766782500).

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

122110212011100 is a wasteful number, since it uses less digits than its factorization.

122110212011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31750 (or 31714 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122110212011100 its reverse (1110212011221), we get a palindrome (123220424022321).

The spelling of 122110212011100 in words is "one hundred twenty-two trillion, one hundred ten billion, two hundred twelve million, eleven thousand, one hundred".