910001010100 has 144 divisors (see below), whose sum is σ = 2435618360448. Its totient is φ = 287382274560.

The previous prime is 910001010071. The next prime is 910001010109. The reversal of 910001010100 is 1010100019.

910001010100 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 (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (910001010109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4142634 + ... + 4356766.

It is an arithmetic number, because the mean of its divisors is an integer number (16914016392).

Almost surely, 2^910001010100 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 910001010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217809180224).

910001010100 is an abundant number, since it is smaller than the sum of its proper divisors (1525617350348).

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

910001010100 is a wasteful number, since it uses less digits than its factorization.

910001010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214634 (or 214627 counting only the distinct ones).

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

Adding to 910001010100 its reverse (1010100019), we get a palindrome (911011110119).

The spelling of 910001010100 in words is "nine hundred ten billion, one million, ten thousand, one hundred".