1000101110010 has 64 divisors (see below), whose sum is σ = 2467222429824. Its totient is φ = 259263763200.

The previous prime is 1000101109991. The next prime is 1000101110059. The reversal of 1000101110010 is 100111010001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915100 + ... + 1684520.

It is an arithmetic number, because the mean of its divisors is an integer number (38550350466).

Almost surely, 2^{1000101110010} is an apocalyptic number.

1000101110010 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 1000101110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233611214912).

1000101110010 is an abundant number, since it is smaller than the sum of its proper divisors (1467121319814).

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

1000101110010 is a wasteful number, since it uses less digits than its factorization.

1000101110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770639.

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

Adding to 1000101110010 its reverse (100111010001), we get a palindrome (1100212120011).

It can be divided in two parts, 1000101 and 110010, that added together give a palindrome (1110111).

The spelling of 1000101110010 in words is "one trillion, one hundred one million, one hundred ten thousand, ten".