100101101010000 has 400 divisors, whose sum is σ = 326574093688128. Its totient is φ = 26410304000000.

The previous prime is 100101101009999. The next prime is 100101101010007. The reversal of 100101101010000 is 10101101001.

It is a tau number, because it is divible by the number of its divisors (400).

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 (100101101010007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4487418847 + ... + 4487441153.

Almost surely, 2^{100101101010000} is an apocalyptic number.

100101101010000 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 100101101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163287046844064).

100101101010000 is an abundant number, since it is smaller than the sum of its proper divisors (226472992678128).

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

100101101010000 is a wasteful number, since it uses less digits than its factorization.

100101101010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23920 (or 23899 counting only the distinct ones).

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

Adding to 100101101010000 its reverse (10101101001), we get a palindrome (100111202111001).

The spelling of 100101101010000 in words is "one hundred trillion, one hundred one billion, one hundred one million, ten thousand".