10122002300 has 72 divisors (see below), whose sum is σ = 23277572640. Its totient is φ = 3807232000.

The previous prime is 10122002279. The next prime is 10122002309. The reversal of 10122002300 is 320022101.

It is a happy number.

It is a super-2 number, since 2×10122002300² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122002309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2719841 + ... + 2723559.

It is an arithmetic number, because the mean of its divisors is an integer number (323299620).

Almost surely, 2^10122002300 is an apocalyptic number.

10122002300 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 10122002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11638786320).

10122002300 is an abundant number, since it is smaller than the sum of its proper divisors (13155570340).

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

10122002300 is a wasteful number, since it uses less digits than its factorization.

10122002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10122002300 its reverse (320022101), we get a palindrome (10442024401).

The spelling of 10122002300 in words is "ten billion, one hundred twenty-two million, two thousand, three hundred".