12121000101100 has 72 divisors (see below), whose sum is σ = 28876475881008. Its totient is φ = 4379562220800.

The previous prime is 12121000101097. The next prime is 12121000101101. The reversal of 12121000101100 is 110100012121.

12121000101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12121000101101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34919947 + ... + 35265346.

It is an arithmetic number, because the mean of its divisors is an integer number (401062165014).

Almost surely, 2^{12121000101100} is an apocalyptic number.

12121000101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121000101100 is an abundant number, since it is smaller than the sum of its proper divisors (16755475779908).

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

12121000101100 is a wasteful number, since it uses less digits than its factorization.

12121000101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70185475 (or 70185468 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12121000101100 its reverse (110100012121), we get a palindrome (12231100113221).

The spelling of 12121000101100 in words is "twelve trillion, one hundred twenty-one billion, one hundred one thousand, one hundred".