100101101120 has 56 divisors (see below), whose sum is σ = 238433140608. Its totient is φ = 40029120000.

The previous prime is 100101101117. The next prime is 100101101143. The reversal of 100101101120 is 21101101001.

It is a happy number.

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 = 100101101098 and 100101101107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1138745 + ... + 1223495.

Almost surely, 2^100101101120 is an apocalyptic number.

100101101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101101120 is an abundant number, since it is smaller than the sum of its proper divisors (138332039488).

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

100101101120 is an equidigital number, since it uses as much as digits as its factorization.

100101101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88459 (or 88449 counting only the distinct ones).

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

Adding to 100101101120 its reverse (21101101001), we get a palindrome (121202202121).

The spelling of 100101101120 in words is "one hundred billion, one hundred one million, one hundred one thousand, one hundred twenty".