122112000202100 has 18 divisors (see below), whose sum is σ = 264983040438774. Its totient is φ = 48844800080800.

The previous prime is 122112000202069. The next prime is 122112000202109. The reversal of 122112000202100 is 1202000211221.

It can be written as a sum of positive squares in 3 ways, for example, as 17190880996 + 122094809321104 = 131114^2 + 11049652^2 .

It is a super-3 number, since 3×122112000202100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112000202109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610560000911 + ... + 610560001110.

Almost surely, 2^{122112000202100} is an apocalyptic number.

122112000202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112000202100 is an abundant number, since it is smaller than the sum of its proper divisors (142871040236674).

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

122112000202100 is a wasteful number, since it uses less digits than its factorization.

122112000202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221120002035 (or 1221120002028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122112000202100 its reverse (1202000211221), we get a palindrome (123314000413321).

The spelling of 122112000202100 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred two thousand, one hundred".