122100211110120 has 128 divisors (see below), whose sum is σ = 366447672432000. Its totient is φ = 32546988573696.

The previous prime is 122100211110083. The next prime is 122100211110121. The reversal of 122100211110120 is 21011112001221.

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 122100211110120.

It is not an unprimeable number, because it can be changed into a prime (122100211110121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6192626502 + ... + 6192646218.

It is an arithmetic number, because the mean of its divisors is an integer number (2862872440875).

Almost surely, 2^{122100211110120} is an apocalyptic number.

122100211110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100211110120 is an abundant number, since it is smaller than the sum of its proper divisors (244347461321880).

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

122100211110120 is a wasteful number, since it uses less digits than its factorization.

122100211110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37827 (or 37823 counting only the distinct ones).

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

Adding to 122100211110120 its reverse (21011112001221), we get a palindrome (143111323111341).

The spelling of 122100211110120 in words is "one hundred twenty-two trillion, one hundred billion, two hundred eleven million, one hundred ten thousand, one hundred twenty".