101004310000 has 200 divisors, whose sum is σ = 282470318064. Its totient is φ = 34567680000.

The previous prime is 101004309979. The next prime is 101004310003. The reversal of 101004310000 is 13400101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×101004310000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101004310003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1842994 + ... + 1897006.

Almost surely, 2^101004310000 is an apocalyptic number.

101004310000 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 101004310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141235159032).

101004310000 is an abundant number, since it is smaller than the sum of its proper divisors (181466008064).

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

101004310000 is a wasteful number, since it uses less digits than its factorization.

101004310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54069 (or 54048 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 101004310000 its reverse (13400101), we get a palindrome (101017710101).

The spelling of 101004310000 in words is "one hundred one billion, four million, three hundred ten thousand".