12021211122100 has 18 divisors (see below), whose sum is σ = 26086028135174. Its totient is φ = 4808484448800.

The previous prime is 12021211122071. The next prime is 12021211122101. The reversal of 12021211122100 is 122111212021.

It can be written as a sum of positive squares in 3 ways, for example, as 3608647326736 + 8412563795364 = 1899644^2 + 2900442^2 .

It is a super-3 number, since 3×12021211122100³ (a number of 40 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 (12021211122101) 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, 60106055511 + ... + 60106055710.

Almost surely, 2^{12021211122100} is an apocalyptic number.

12021211122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021211122100 is an abundant number, since it is smaller than the sum of its proper divisors (14064817013074).

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

12021211122100 is a wasteful number, since it uses less digits than its factorization.

12021211122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120212111235 (or 120212111228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12021211122100 its reverse (122111212021), we get a palindrome (12143322334121).

The spelling of 12021211122100 in words is "twelve trillion, twenty-one billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".