100001000001120 has 96 divisors (see below), whose sum is σ = 323516748709728. Its totient is φ = 25946205401088.

The previous prime is 100001000001109. The next prime is 100001000001211. The reversal of 100001000001120 is 21100000100001.

It is a tau number, because it is divible by the number of its divisors (96).

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 junction number, because it is equal to n+sod(n) for n = 100001000001099 and 100001000001108.

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, 2815325709 + ... + 2815361228.

It is an arithmetic number, because the mean of its divisors is an integer number (3369966132393).

Almost surely, 2^{100001000001120} is an apocalyptic number.

100001000001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001000001120 is an abundant number, since it is smaller than the sum of its proper divisors (223515748708608).

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

100001000001120 is a wasteful number, since it uses less digits than its factorization.

100001000001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5630686992 (or 5630686984 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100001000001120 its reverse (21100000100001), we get a palindrome (121101000101121).

The spelling of 100001000001120 in words is "one hundred trillion, one billion, one thousand, one hundred twenty".