10000001201120 has 192 divisors, whose sum is σ = 28111966468992. Its totient is φ = 3290112000000.

The previous prime is 10000001201087. The next prime is 10000001201131. The reversal of 10000001201120 is 2110210000001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10000001201098 and 10000001201107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1016120 + ... + 4586120.

It is an arithmetic number, because the mean of its divisors is an integer number (146416492026).

Almost surely, 2^{10000001201120} is an apocalyptic number.

10000001201120 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 10000001201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055983234496).

10000001201120 is an abundant number, since it is smaller than the sum of its proper divisors (18111965267872).

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

10000001201120 is a wasteful number, since it uses less digits than its factorization.

10000001201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570125 (or 3570117 counting only the distinct ones).

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

Adding to 10000001201120 its reverse (2110210000001), we get a palindrome (12110211201121).

The spelling of 10000001201120 in words is "ten trillion, one million, two hundred one thousand, one hundred twenty".