12121001010100 has 36 divisors (see below), whose sum is σ = 26573732751244. Its totient is φ = 4798416890880.

The previous prime is 12121001010031. The next prime is 12121001010101. The reversal of 12121001010100 is 101010012121.

12121001010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1152677082384 + 10968323927716 = 1073628^2 + 3311846^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121001010101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624784167 + ... + 624803566.

Almost surely, 2^{12121001010100} is an apocalyptic number.

12121001010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121001010100 is an abundant number, since it is smaller than the sum of its proper divisors (14452731741144).

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

12121001010100 is a wasteful number, since it uses less digits than its factorization.

12121001010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249587844 (or 1249587837 counting only the distinct ones).

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

Adding to 12121001010100 its reverse (101010012121), we get a palindrome (12222011022221).

The spelling of 12121001010100 in words is "twelve trillion, one hundred twenty-one billion, one million, ten thousand, one hundred".