100101001020000 has 480 divisors, whose sum is σ = 340565293895904. Its totient is φ = 25714944000000.

The previous prime is 100101001019983. The next prime is 100101001020089. The reversal of 100101001020000 is 20100101001.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 223996780 + ... + 224443220.

Almost surely, 2^{100101001020000} is an apocalyptic number.

100101001020000 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 100101001020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170282646947952).

100101001020000 is an abundant number, since it is smaller than the sum of its proper divisors (240464292875904).

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

100101001020000 is a wasteful number, since it uses less digits than its factorization.

100101001020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446612 (or 446589 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100101001020000 its reverse (20100101001), we get a palindrome (100121101121001).

The spelling of 100101001020000 in words is "one hundred trillion, one hundred one billion, one million, twenty thousand".