122000212100 has 144 divisors (see below), whose sum is σ = 288944787600. Its totient is φ = 44441886720.

The previous prime is 122000212093. The next prime is 122000212121. The reversal of 122000212100 is 1212000221.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 117495386176 + 4504825924 = 342776^2 + 67118^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71386046 + ... + 71387754.

It is an arithmetic number, because the mean of its divisors is an integer number (2006561025).

Almost surely, 2^122000212100 is an apocalyptic number.

122000212100 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 122000212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144472393800).

122000212100 is an abundant number, since it is smaller than the sum of its proper divisors (166944575500).

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

122000212100 is a wasteful number, since it uses less digits than its factorization.

122000212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122000212100 its reverse (1212000221), we get a palindrome (123212212321).

The spelling of 122000212100 in words is "one hundred twenty-two billion, two hundred twelve thousand, one hundred".