10000001121012 has 144 divisors (see below), whose sum is σ = 29101582881280. Its totient is φ = 2836114710336.

The previous prime is 10000001120971. The next prime is 10000001121043. The reversal of 10000001121012 is 21012110000001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10000001120985 and 10000001121003.

It is a congruent number.

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, 246121443 + ... + 246162069.

Almost surely, 2^{10000001121012} is an apocalyptic number.

10000001121012 is a gapful number since it is divisible by the number (12) 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 10000001121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14550791440640).

10000001121012 is an abundant number, since it is smaller than the sum of its proper divisors (19101581760268).

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

10000001121012 is a wasteful number, since it uses less digits than its factorization.

10000001121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47810 (or 47805 counting only the distinct ones).

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

Adding to 10000001121012 its reverse (21012110000001), we get a palindrome (31012111121013).

The spelling of 10000001121012 in words is "ten trillion, one million, one hundred twenty-one thousand, twelve".