1001011010088 has 128 divisors (see below), whose sum is σ = 2655478425600. Its totient is φ = 314022272256.

The previous prime is 1001011010063. The next prime is 1001011010089. The reversal of 1001011010088 is 8800101101001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1001011010089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3805693 + ... + 4060211.

It is an arithmetic number, because the mean of its divisors is an integer number (20745925200).

Almost surely, 2^{1001011010088} 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 1001011010088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327739212800).

1001011010088 is an abundant number, since it is smaller than the sum of its proper divisors (1654467415512).

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

1001011010088 is a wasteful number, since it uses less digits than its factorization.

1001011010088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254711 (or 254707 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 21.

Adding to 1001011010088 its reverse (8800101101001), we get a palindrome (9801112111089).

The spelling of 1001011010088 in words is "one trillion, one billion, eleven million, ten thousand, eighty-eight".