100101001106000 has 160 divisors (see below), whose sum is σ = 242907633416448. Its totient is φ = 39897612019200.

The previous prime is 100101001105939. The next prime is 100101001106047. The reversal of 100101001106000 is 601100101001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6986870837 + ... + 6986885163.

Almost surely, 2^{100101001106000} is an apocalyptic number.

100101001106000 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 100101001106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121453816708224).

100101001106000 is an abundant number, since it is smaller than the sum of its proper divisors (142806632310448).

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

100101001106000 is a wasteful number, since it uses less digits than its factorization.

100101001106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26566 (or 26550 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100101001106000 its reverse (601100101001), we get a palindrome (100702101207001).

The spelling of 100101001106000 in words is "one hundred trillion, one hundred one billion, one million, one hundred six thousand".