10101040000 has 160 divisors (see below), whose sum is σ = 25963439040. Its totient is φ = 3909120000.

The previous prime is 10101039983. The next prime is 10101040009. The reversal of 10101040000 is 4010101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101040009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2477964 + ... + 2482036.

It is an arithmetic number, because the mean of its divisors is an integer number (162271494).

Almost surely, 2^10101040000 is an apocalyptic number.

10101040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12981719520).

10101040000 is an abundant number, since it is smaller than the sum of its proper divisors (15862399040).

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

10101040000 is an frugal number, since it uses more digits than its factorization.

10101040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10101040000 its reverse (4010101), we get a palindrome (10105050101).

The spelling of 10101040000 in words is "ten billion, one hundred one million, forty thousand".