100101111011120 has 40 divisors (see below), whose sum is σ = 233201486166000. Its totient is φ = 39960203016960.

The previous prime is 100101111011113. The next prime is 100101111011141. The reversal of 100101111011120 is 21110111101001.

It is a happy number.

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

It is an unprimeable number.

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, 1253731511 + ... + 1253811350.

It is an arithmetic number, because the mean of its divisors is an integer number (5830037154150).

Almost surely, 2^{100101111011120} is an apocalyptic number.

100101111011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101111011120 is an abundant number, since it is smaller than the sum of its proper divisors (133100375154880).

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

100101111011120 is a wasteful number, since it uses less digits than its factorization.

100101111011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507543373 (or 2507543367 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100101111011120 its reverse (21110111101001), we get a palindrome (121211222112121).

The spelling of 100101111011120 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, eleven thousand, one hundred twenty".