12121232210100 has 360 divisors, whose sum is σ = 42733721851128. Its totient is φ = 2954143872000.

The previous prime is 12121232210081. The next prime is 12121232210149. The reversal of 12121232210100 is 101223212121.

12121232210100 is a `hidden beast` number, since 1 + 2 + 121 + 232 + 210 + 100 = 666.

12121232210100 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 12 ways, for example, as 3413197130256 + 8708035079844 = 1847484^2 + 2950938^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10065442 + ... + 11205158.

Almost surely, 2^{12121232210100} is an apocalyptic number.

12121232210100 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 12121232210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21366860925564).

12121232210100 is an abundant number, since it is smaller than the sum of its proper divisors (30612489641028).

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

12121232210100 is a wasteful number, since it uses less digits than its factorization.

12121232210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139857 (or 1139841 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12121232210100 its reverse (101223212121), we get a palindrome (12222455422221).

The spelling of 12121232210100 in words is "twelve trillion, one hundred twenty-one billion, two hundred thirty-two million, two hundred ten thousand, one hundred".