100011011001010 has 16 divisors (see below), whose sum is σ = 180038001963672. Its totient is φ = 40000363920000.

The previous prime is 100011011001001. The next prime is 100011011001019. The reversal of 100011011001010 is 10100110110001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100011011001001) and next prime (100011011001019).

It can be written as a sum of positive squares in 4 ways, for example, as 98899186267249 + 1111824733761 = 9944807^2 + 1054431^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100011011000984 and 100011011001002.

It is not an unprimeable number, because it can be changed into a prime (100011011001019) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 504956091 + ... + 505154110.

Almost surely, 2^{100011011001010} is an apocalyptic number.

100011011001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100011011001010 is a deficient number, since it is larger than the sum of its proper divisors (80026990962662).

100011011001010 is a wasteful number, since it uses less digits than its factorization.

100011011001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010120109.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100011011001010 its reverse (10100110110001), we get a palindrome (110111121111011).

The spelling of 100011011001010 in words is "one hundred trillion, eleven billion, eleven million, one thousand, ten".