12010121100 has 180 divisors, whose sum is σ = 39053401464. Its totient is φ = 3192721920.

The previous prime is 12010121099. The next prime is 12010121107. The reversal of 12010121100 is 112101021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (12010121107) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2808564 + ... + 2812836.

Almost surely, 2^12010121100 is an apocalyptic number.

12010121100 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 12010121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19526700732).

12010121100 is an abundant number, since it is smaller than the sum of its proper divisors (27043280364).

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

12010121100 is a wasteful number, since it uses less digits than its factorization.

12010121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4630 counting only the distinct ones).

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

Adding to 12010121100 its reverse (112101021), we get a palindrome (12122222121).

The spelling of 12010121100 in words is "twelve billion, ten million, one hundred twenty-one thousand, one hundred".