100001100101120 has 160 divisors (see below), whose sum is σ = 250352864391168. Its totient is φ = 38236838289408.

The previous prime is 100001100101087. The next prime is 100001100101183. The reversal of 100001100101120 is 21101001100001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100001100101098 and 100001100101107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91723037 + ... + 92806883.

Almost surely, 2^{100001100101120} is an apocalyptic number.

100001100101120 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 100001100101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125176432195584).

100001100101120 is an abundant number, since it is smaller than the sum of its proper divisors (150351764290048).

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

100001100101120 is a wasteful number, since it uses less digits than its factorization.

100001100101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085460 (or 1085444 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100001100101120 its reverse (21101001100001), we get a palindrome (121102101201121).

The spelling of 100001100101120 in words is "one hundred trillion, one billion, one hundred million, one hundred one thousand, one hundred twenty".