11212012122100 has 36 divisors (see below), whose sum is σ = 24434487241164. Its totient is φ = 4465556750080.

The previous prime is 11212012122011. The next prime is 11212012122131. The reversal of 11212012122100 is 122121021211.

It can be written as a sum of positive squares in 6 ways, for example, as 1697970575844 + 9514041546256 = 1303062^2 + 3084484^2 .

It is a super-2 number, since 2×11212012122100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240577819 + ... + 240624418.

It is an arithmetic number, because the mean of its divisors is an integer number (678735756699).

Almost surely, 2^{11212012122100} is an apocalyptic number.

11212012122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212012122100 is an abundant number, since it is smaller than the sum of its proper divisors (13222475119064).

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

11212012122100 is a wasteful number, since it uses less digits than its factorization.

11212012122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481202484 (or 481202477 counting only the distinct ones).

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

Adding to 11212012122100 its reverse (122121021211), we get a palindrome (11334133143311).

The spelling of 11212012122100 in words is "eleven trillion, two hundred twelve billion, twelve million, one hundred twenty-two thousand, one hundred".