100010011110000 has 800 divisors, whose sum is σ = 346166135377920. Its totient is φ = 24783458304000.

The previous prime is 100010011109999. The next prime is 100010011110001. The reversal of 100010011110000 is 11110010001.

It is an interprime number because it is at equal distance from previous prime (100010011109999) and next prime (100010011110001).

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 not an unprimeable number, because it can be changed into a prime (100010011110001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49338928987 + ... + 49338931013.

Almost surely, 2^{100010011110000} is an apocalyptic number.

100010011110000 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 100010011110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173083067688960).

100010011110000 is an abundant number, since it is smaller than the sum of its proper divisors (246156124267920).

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

100010011110000 is a wasteful number, since it uses less digits than its factorization.

100010011110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100010011110000 its reverse (11110010001), we get a palindrome (100021121120001).

The spelling of 100010011110000 in words is "one hundred trillion, ten billion, eleven million, one hundred ten thousand".