10300022100000 has 576 divisors, whose sum is σ = 37768523909760. Its totient is φ = 2730672000000.

The previous prime is 10300022099993. The next prime is 10300022100037. The reversal of 10300022100000 is 122000301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 467088975 + ... + 467111025.

It is an arithmetic number, because the mean of its divisors is an integer number (65570354010).

Almost surely, 2^{10300022100000} is an apocalyptic number.

10300022100000 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 10300022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18884261954880).

10300022100000 is an abundant number, since it is smaller than the sum of its proper divisors (27468501809760).

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

10300022100000 is an equidigital number, since it uses as much as digits as its factorization.

10300022100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22268 (or 22234 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10300022100000 its reverse (122000301), we get a palindrome (10300144100301).

The spelling of 10300022100000 in words is "ten trillion, three hundred billion, twenty-two million, one hundred thousand".