100101303000 has 192 divisors, whose sum is σ = 340373517120. Its totient is φ = 26533440000.

The previous prime is 100101302953. The next prime is 100101303017. The reversal of 100101303000 is 303101001.

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

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, 1469700 + ... + 1536300.

It is an arithmetic number, because the mean of its divisors is an integer number (1772778735).

Almost surely, 2^100101303000 is an apocalyptic number.

100101303000 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 100101303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170186758560).

100101303000 is an abundant number, since it is smaller than the sum of its proper divisors (240272214120).

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

100101303000 is a wasteful number, since it uses less digits than its factorization.

100101303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66795 (or 66778 counting only the distinct ones).

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

Adding to 100101303000 its reverse (303101001), we get a palindrome (100404404001).

It can be divided in two parts, 10010 and 1303000, that added together give a triangular number (1313010 = T₁₆₂₀).

The spelling of 100101303000 in words is "one hundred billion, one hundred one million, three hundred three thousand".