1001201120010 has 1536 divisors, whose sum is σ = 3755912509440. Its totient is φ = 178872385536.

The previous prime is 1001201120009. The next prime is 1001201120057. The reversal of 1001201120010 is 100211021001.

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 = 1001201119974 and 1001201120001.

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 767 ways as a sum of consecutive naturals, for example, 5187570474 + ... + 5187570666.

It is an arithmetic number, because the mean of its divisors is an integer number (2445255540).

Almost surely, 2^{1001201120010} is an apocalyptic number.

1001201120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001201120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877956254720).

1001201120010 is an abundant number, since it is smaller than the sum of its proper divisors (2754711389430).

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

1001201120010 is a wasteful number, since it uses less digits than its factorization.

1001201120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 349 counting only the distinct ones).

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

Adding to 1001201120010 its reverse (100211021001), we get a palindrome (1101412141011).

Subtracting from 1001201120010 its reverse (100211021001), we obtain a palindrome (900990099009).

It can be divided in two parts, 1001201 and 120010, that added together give a palindrome (1121211).

The spelling of 1001201120010 in words is "one trillion, one billion, two hundred one million, one hundred twenty thousand, ten".