12121012010100 has 144 divisors (see below), whose sum is σ = 40102944358400. Its totient is φ = 2768941134720.

The previous prime is 12121012010039. The next prime is 12121012010131. The reversal of 12121012010100 is 101021012121.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053221 + ... + 5334579.

Almost surely, 2^{12121012010100} is an apocalyptic number.

12121012010100 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 12121012010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20051472179200).

12121012010100 is an abundant number, since it is smaller than the sum of its proper divisors (27981932348300).

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

12121012010100 is a wasteful number, since it uses less digits than its factorization.

12121012010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283142 (or 3283135 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12121012010100 its reverse (101021012121), we get a palindrome (12222033022221).

The spelling of 12121012010100 in words is "twelve trillion, one hundred twenty-one billion, twelve million, ten thousand, one hundred".