101530000000 has 512 divisors, whose sum is σ = 301217978880. Its totient is φ = 33600000000.

The previous prime is 101529999979. The next prime is 101530000001. The reversal of 101530000000 is 35101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101530000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1429999965 + ... + 1430000035.

It is an arithmetic number, because the mean of its divisors is an integer number (588316365).

Almost surely, 2^101530000000 is an apocalyptic number.

101530000000 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 101530000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150608989440).

101530000000 is an abundant number, since it is smaller than the sum of its proper divisors (199687978880).

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

101530000000 is an frugal number, since it uses more digits than its factorization.

101530000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

Adding to 101530000000 its reverse (35101), we get a palindrome (101530035101).

The spelling of 101530000000 in words is "one hundred one billion, five hundred thirty million", and thus it is an aban number.