12101210000 has 300 divisors, whose sum is σ = 32883283356. Its totient is φ = 4308480000.

The previous prime is 12101209997. The next prime is 12101210021. The reversal of 12101210000 is 1210121.

Added to its reverse (1210121) it gives a square (12102420121 = 110011²).

It can be written as a sum of positive squares in 10 ways, for example, as 8472834304 + 3628375696 = 92048^2 + 60236^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12101210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 88329932 + ... + 88330068.

Almost surely, 2^12101210000 is an apocalyptic number.

12101210000 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 12101210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16441641678).

12101210000 is an abundant number, since it is smaller than the sum of its proper divisors (20782073356).

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

12101210000 is a wasteful number, since it uses less digits than its factorization.

12101210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12101210000 its reverse (1210121), we get a palindrome (12102420121).

12101210000 divided by its reverse (1210121) gives a 4-th power (10000 = 10⁴).

The spelling of 12101210000 in words is "twelve billion, one hundred one million, two hundred ten thousand".