101003112000 has 840 divisors, whose sum is σ = 434799184248. Its totient is φ = 23079168000.

The previous prime is 101003111977. The next prime is 101003112011. The reversal of 101003112000 is 211300101.

It can be written as a sum of positive squares in 4 ways, for example, as 20487914496 + 80515197504 = 143136^2 + 283752^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31750410 + ... + 31753590.

Almost surely, 2^101003112000 is an apocalyptic number.

101003112000 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 101003112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217399592124).

101003112000 is an abundant number, since it is smaller than the sum of its proper divisors (333796072248).

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

101003112000 is an equidigital number, since it uses as much as digits as its factorization.

101003112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101003112000 its reverse (211300101), we get a palindrome (101214412101).

The spelling of 101003112000 in words is "one hundred one billion, three million, one hundred twelve thousand".