10101002340 has 192 divisors, whose sum is σ = 33305674752. Its totient is φ = 2255040000.

The previous prime is 10101002323. The next prime is 10101002341. The reversal of 10101002340 is 4320010101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10101002341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4486215 + ... + 4488465.

It is an arithmetic number, because the mean of its divisors is an integer number (173467056).

Almost surely, 2^10101002340 is an apocalyptic number.

10101002340 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 10101002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16652837376).

10101002340 is an abundant number, since it is smaller than the sum of its proper divisors (23204672412).

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

10101002340 is a wasteful number, since it uses less digits than its factorization.

10101002340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10101002340 its reverse (4320010101), we get a palindrome (14421012441).

The spelling of 10101002340 in words is "ten billion, one hundred one million, two thousand, three hundred forty".