122112002100 has 216 divisors, whose sum is σ = 394723354144. Its totient is φ = 29117088000.

The previous prime is 122112002003. The next prime is 122112002113. The reversal of 122112002100 is 1200211221.

It is a super-2 number, since 2×122112002100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2186727 + ... + 2241873.

Almost surely, 2^122112002100 is an apocalyptic number.

122112002100 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 122112002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197361677072).

122112002100 is an abundant number, since it is smaller than the sum of its proper divisors (272611352044).

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

122112002100 is a wasteful number, since it uses less digits than its factorization.

122112002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55247 (or 55229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122112002100 its reverse (1200211221), we get a palindrome (123312213321).

It can be divided in two parts, 12 and 2112002100, that added together give a palindrome (2112002112).

The spelling of 122112002100 in words is "one hundred twenty-two billion, one hundred twelve million, two thousand, one hundred".