101303010000000 has 768 divisors, whose sum is σ = 365498533071360. Its totient is φ = 26931744000000.

The previous prime is 101303009999897. The next prime is 101303010000007. The reversal of 101303010000000 is 10303101.

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

It is not an unprimeable number, because it can be changed into a prime (101303010000007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33029998467 + ... + 33030001533.

It is an arithmetic number, because the mean of its divisors is an integer number (475909548270).

Almost surely, 2^{101303010000000} is an apocalyptic number.

101303010000000 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 101303010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182749266535680).

101303010000000 is an abundant number, since it is smaller than the sum of its proper divisors (264195523071360).

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

101303010000000 is an frugal number, since it uses more digits than its factorization.

101303010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3444 counting only the distinct ones).

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

Adding to 101303010000000 its reverse (10303101), we get a palindrome (101303020303101).

The spelling of 101303010000000 in words is "one hundred one trillion, three hundred three billion, ten million", and thus it is an aban number.