101001302010000 has 1200 divisors, whose sum is σ = 409973656435200. Its totient is φ = 22728093696000.

The previous prime is 101001302009999. The next prime is 101001302010061. The reversal of 101001302010000 is 10203100101.

It is a tau number, because it is divible by the number of its divisors (1200).

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 (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13400726232 + ... + 13400733768.

It is an arithmetic number, because the mean of its divisors is an integer number (341644713696).

Almost surely, 2^{101001302010000} is an apocalyptic number.

101001302010000 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 101001302010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204986828217600).

101001302010000 is an abundant number, since it is smaller than the sum of its proper divisors (308972354425200).

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

101001302010000 is a wasteful number, since it uses less digits than its factorization.

101001302010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906 (or 7882 counting only the distinct ones).

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

Adding to 101001302010000 its reverse (10203100101), we get a palindrome (101011505110101).

The spelling of 101001302010000 in words is "one hundred one trillion, one billion, three hundred two million, ten thousand".