101000011010010 has 384 divisors, whose sum is σ = 294342942631680. Its totient is φ = 22101262848000.

The previous prime is 101000011009993. The next prime is 101000011010011. The reversal of 101000011010010 is 10010110000101.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101000011010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 534249022 + ... + 534438038.

It is an arithmetic number, because the mean of its divisors is an integer number (766518079770).

Almost surely, 2^{101000011010010} is an apocalyptic number.

101000011010010 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 101000011010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147171471315840).

101000011010010 is an abundant number, since it is smaller than the sum of its proper divisors (193342931621670).

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

101000011010010 is a wasteful number, since it uses less digits than its factorization.

101000011010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189262 (or 189255 counting only the distinct ones).

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

Adding to 101000011010010 its reverse (10010110000101), we get a palindrome (111010121010111).

The spelling of 101000011010010 in words is "one hundred one trillion, eleven million, ten thousand, ten".