10101302010300 has 288 divisors, whose sum is σ = 31410698586624. Its totient is φ = 2497195008000.

The previous prime is 10101302010271. The next prime is 10101302010337. The reversal of 10101302010300 is 301020310101.

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

It is a congruent number.

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, 406625880 + ... + 406650720.

It is an arithmetic number, because the mean of its divisors is an integer number (109064925648).

Almost surely, 2^{10101302010300} is an apocalyptic number.

10101302010300 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 10101302010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15705349293312).

10101302010300 is an abundant number, since it is smaller than the sum of its proper divisors (21309396576324).

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

10101302010300 is a wasteful number, since it uses less digits than its factorization.

10101302010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26069 (or 26062 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10101302010300 its reverse (301020310101), we get a palindrome (10402322320401).

The spelling of 10101302010300 in words is "ten trillion, one hundred one billion, three hundred two million, ten thousand, three hundred".