1001102120010 has 48 divisors (see below), whose sum is σ = 2603073100680. Its totient is φ = 266939274240.

The previous prime is 1001102120009. The next prime is 1001102120021. The reversal of 1001102120010 is 100212011001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1000694120409 + 407999601 = 1000347^2 + 20199^2 .

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 = 1001102119974 and 1001102120001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707686 + ... + 1582094.

Almost surely, 2^{1001102120010} is an apocalyptic number.

1001102120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001102120010 is an abundant number, since it is smaller than the sum of its proper divisors (1601970980670).

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

1001102120010 is a wasteful number, since it uses less digits than its factorization.

1001102120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887143 (or 887140 counting only the distinct ones).

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

Adding to 1001102120010 its reverse (100212011001), we get a palindrome (1101314131011).

The spelling of 1001102120010 in words is "one trillion, one billion, one hundred two million, one hundred twenty thousand, ten".