101130450000 has 240 divisors, whose sum is σ = 345763494720. Its totient is φ = 25381120000.

The previous prime is 101130449989. The next prime is 101130450061. The reversal of 101130450000 is 54031101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2530171 + ... + 2569829.

It is an arithmetic number, because the mean of its divisors is an integer number (1440681228).

Almost surely, 2^101130450000 is an apocalyptic number.

101130450000 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 101130450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172881747360).

101130450000 is an abundant number, since it is smaller than the sum of its proper divisors (244633044720).

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

101130450000 is an equidigital number, since it uses as much as digits as its factorization.

101130450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39712 (or 39686 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 101130450000 its reverse (54031101), we get a palindrome (101184481101).

The spelling of 101130450000 in words is "one hundred one billion, one hundred thirty million, four hundred fifty thousand".