100200102011120 has 40 divisors (see below), whose sum is σ = 233048767718880. Its totient is φ = 40065669958400.

The previous prime is 100200102011111. The next prime is 100200102011129. The reversal of 100200102011120 is 21110201002001.

100200102011120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100200102011111) and next prime (100200102011129).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200102011129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224319956 + ... + 224766195.

It is an arithmetic number, because the mean of its divisors is an integer number (5826219192972).

Almost surely, 2^{100200102011120} is an apocalyptic number.

100200102011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200102011120 is an abundant number, since it is smaller than the sum of its proper divisors (132848665707760).

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

100200102011120 is a wasteful number, since it uses less digits than its factorization.

100200102011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449088953 (or 449088947 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100200102011120 its reverse (21110201002001), we get a palindrome (121310303013121).

The spelling of 100200102011120 in words is "one hundred trillion, two hundred billion, one hundred two million, eleven thousand, one hundred twenty".