122122222100100 has 432 divisors, whose sum is σ = 407761381809600. Its totient is φ = 30512340956160.

The previous prime is 122122222100023. The next prime is 122122222100107. The reversal of 122122222100100 is 1001222221221.

It is a happy number.

122122222100100 is a `hidden beast` number, since 1 + 221 + 2 + 222 + 210 + 0 + 10 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122122222100107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 365833467 + ... + 366167133.

Almost surely, 2^{122122222100100} is an apocalyptic number.

122122222100100 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 122122222100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203880690904800).

122122222100100 is an abundant number, since it is smaller than the sum of its proper divisors (285639159709500).

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

122122222100100 is a wasteful number, since it uses less digits than its factorization.

122122222100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334132 (or 334122 counting only the distinct ones).

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

Adding to 122122222100100 its reverse (1001222221221), we get a palindrome (123123444321321).

It can be divided in two parts, 122122 and 222100100, that added together give a palindrome (222222222).

The spelling of 122122222100100 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred thousand, one hundred".