1010011101008 has 160 divisors (see below), whose sum is σ = 2466584795136. Its totient is φ = 389942429184.

The previous prime is 1010011101007. The next prime is 1010011101017. The reversal of 1010011101008 is 8001011100101.

It is a happy number.

1010011101008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1010011100983 and 1010011101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010011101007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81822485 + ... + 81834827.

Almost surely, 2^{1010011101008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010011101008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233292397568).

1010011101008 is an abundant number, since it is smaller than the sum of its proper divisors (1456573694128).

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

1010011101008 is a wasteful number, since it uses less digits than its factorization.

1010011101008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13721 (or 13715 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1010011101008 its reverse (8001011100101), we get a palindrome (9011022201109).

The spelling of 1010011101008 in words is "one trillion, ten billion, eleven million, one hundred one thousand, eight".