910010101000 has 512 divisors, whose sum is σ = 2887714851840. Its totient is φ = 259200000000.

The previous prime is 910010100953. The next prime is 910010101057. The reversal of 910010101000 is 101010019.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101096500 + ... + 101105500.

It is an arithmetic number, because the mean of its divisors is an integer number (5640068070).

Almost surely, 2^910010101000 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 910010101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443857425920).

910010101000 is an abundant number, since it is smaller than the sum of its proper divisors (1977704750840).

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

910010101000 is a wasteful number, since it uses less digits than its factorization.

910010101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9154 (or 9140 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 910010101000 its reverse (101010019), we get a palindrome (910111111019).

The spelling of 910010101000 in words is "nine hundred ten billion, ten million, one hundred one thousand".