12121010100 has 288 divisors, whose sum is σ = 41538313600. Its totient is φ = 3061100160.

The previous prime is 12121010087. The next prime is 12121010107. The reversal of 12121010100 is 101012121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121010107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4153842 + ... + 4156758.

Almost surely, 2^12121010100 is an apocalyptic number.

12121010100 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 12121010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20769156800).

12121010100 is an abundant number, since it is smaller than the sum of its proper divisors (29417303500).

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

12121010100 is a wasteful number, since it uses less digits than its factorization.

12121010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12121010100 its reverse (101012121), we get a palindrome (12222022221).

The spelling of 12121010100 in words is "twelve billion, one hundred twenty-one million, ten thousand, one hundred".