101001312000 has 216 divisors, whose sum is σ = 363433215600. Its totient is φ = 26933606400.

The previous prime is 101001311981. The next prime is 101001312019. The reversal of 101001312000 is 213100101.

It is an interprime number because it is at equal distance from previous prime (101001311981) and next prime (101001312019).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112651 + ... + 463349.

Almost surely, 2^101001312000 is an apocalyptic number.

101001312000 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 101001312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181716607800).

101001312000 is an abundant number, since it is smaller than the sum of its proper divisors (262431903600).

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

101001312000 is an equidigital number, since it uses as much as digits as its factorization.

101001312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350736 (or 350709 counting only the distinct ones).

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

Adding to 101001312000 its reverse (213100101), we get a palindrome (101214412101).

The spelling of 101001312000 in words is "one hundred one billion, one million, three hundred twelve thousand".