1001110100010 has 192 divisors, whose sum is σ = 2527470397440. Its totient is φ = 253562158080.

The previous prime is 1001110100009. The next prime is 1001110100017. The reversal of 1001110100010 is 100010111001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (1001110100017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 680563575 + ... + 680565045.

It is an arithmetic number, because the mean of its divisors is an integer number (13163908320).

Almost surely, 2^{1001110100010} is an apocalyptic number.

1001110100010 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 1001110100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263735198720).

1001110100010 is an abundant number, since it is smaller than the sum of its proper divisors (1526360297430).

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

1001110100010 is a wasteful number, since it uses less digits than its factorization.

1001110100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1001110100010 its reverse (100010111001), we get a palindrome (1101120211011).

It can be divided in two parts, 1001 and 110100010, that added together give a palindrome (110101011).

The spelling of 1001110100010 in words is "one trillion, one billion, one hundred ten million, one hundred thousand, ten".