122122021002100 has 216 divisors, whose sum is σ = 315889509324312. Its totient is φ = 40836263731200.

The previous prime is 122122021002071. The next prime is 122122021002167. The reversal of 122122021002100 is 1200120221221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 45105354466704 + 77016666535396 = 6716052^2 + 8775914^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 646200822 + ... + 646389778.

It is an arithmetic number, because the mean of its divisors is an integer number (1462451432057).

Almost surely, 2^{122122021002100} is an apocalyptic number.

122122021002100 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 122122021002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157944754662156).

122122021002100 is an abundant number, since it is smaller than the sum of its proper divisors (193767488322212).

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

122122021002100 is a wasteful number, since it uses less digits than its factorization.

122122021002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192243 (or 192229 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122122021002100 its reverse (1200120221221), we get a palindrome (123322141223321).

The spelling of 122122021002100 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, twenty-one million, two thousand, one hundred".