122100021100100 has 18 divisors (see below), whose sum is σ = 264957045787434. Its totient is φ = 48840008440000.

The previous prime is 122100021100037. The next prime is 122100021100111. The reversal of 122100021100100 is 1001120001221.

122100021100100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 29343975672064 + 92756045428036 = 5417008^2 + 9630994^2 .

It is a super-4 number, since 4×122100021100100⁴ (a number of 57 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610500105401 + ... + 610500105600.

Almost surely, 2^{122100021100100} is an apocalyptic number.

122100021100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100021100100 is an abundant number, since it is smaller than the sum of its proper divisors (142857024687334).

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

122100021100100 is a wasteful number, since it uses less digits than its factorization.

122100021100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221000211015 (or 1221000211008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122100021100100 its reverse (1001120001221), we get a palindrome (123101141101321).

The spelling of 122100021100100 in words is "one hundred twenty-two trillion, one hundred billion, twenty-one million, one hundred thousand, one hundred".