122011110100 has 72 divisors (see below), whose sum is σ = 289908007200. Its totient is φ = 44202633600.

The previous prime is 122011110077. The next prime is 122011110107. The reversal of 122011110100 is 1011110221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011110107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89731 + ... + 502069.

It is an arithmetic number, because the mean of its divisors is an integer number (4026500100).

Almost surely, 2^122011110100 is an apocalyptic number.

122011110100 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 122011110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144954003600).

122011110100 is an abundant number, since it is smaller than the sum of its proper divisors (167896897100).

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

122011110100 is a wasteful number, since it uses less digits than its factorization.

122011110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412633 (or 412626 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 122011110100 its reverse (1011110221), we get a palindrome (123022220321).

The spelling of 122011110100 in words is "one hundred twenty-two billion, eleven million, one hundred ten thousand, one hundred".