12110002101000 has 192 divisors, whose sum is σ = 40963405420080. Its totient is φ = 3226840934400.

The previous prime is 12110002100981. The next prime is 12110002101019. The reversal of 12110002101000 is 10120001121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12110002100981) and next prime (12110002101019).

It can be written as a sum of positive squares in 8 ways, for example, as 4612383341316 + 7497618759684 = 2147646^2 + 2738178^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11154282 + ... + 12191718.

Almost surely, 2^{12110002101000} is an apocalyptic number.

12110002101000 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 12110002101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20481702710040).

12110002101000 is an abundant number, since it is smaller than the sum of its proper divisors (28853403319080).

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

12110002101000 is a wasteful number, since it uses less digits than its factorization.

12110002101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038761 (or 1038744 counting only the distinct ones).

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

Adding to 12110002101000 its reverse (10120001121), we get a palindrome (12120122102121).

The spelling of 12110002101000 in words is "twelve trillion, one hundred ten billion, two million, one hundred one thousand".