100110111010000 has 300 divisors, whose sum is σ = 303636626280372. Its totient is φ = 31683197952000.

The previous prime is 100110111009983. The next prime is 100110111010001. The reversal of 100110111010000 is 10111011001.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 80348849917504 + 19761261092496 = 8963752^2 + 4445364^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110111010001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1487937 + ... + 14227936.

Almost surely, 2^{100110111010000} is an apocalyptic number.

100110111010000 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 100110111010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151818313140186).

100110111010000 is an abundant number, since it is smaller than the sum of its proper divisors (203526515270372).

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

100110111010000 is a wasteful number, since it uses less digits than its factorization.

100110111010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15715928 (or 15715900 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100110111010000 its reverse (10111011001), we get a palindrome (100120222021001).

The spelling of 100110111010000 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, ten thousand".