100101111021120 has 224 divisors, whose sum is σ = 350146662281856. Its totient is φ = 24026669056000.

The previous prime is 100101111021101. The next prime is 100101111021127. The reversal of 100101111021120 is 21120111101001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100101111021096 and 100101111021105.

It is not an unprimeable number, because it can be changed into a prime (100101111021127) 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 31 ways as a sum of consecutive naturals, for example, 45860529 + ... + 47993648.

Almost surely, 2^{100101111021120} is an apocalyptic number.

100101111021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101111021120 is an abundant number, since it is smaller than the sum of its proper divisors (250045551260736).

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

100101111021120 is a wasteful number, since it uses less digits than its factorization.

100101111021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93854309 (or 93854299 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100101111021120 its reverse (21120111101001), we get a palindrome (121221222122121).

The spelling of 100101111021120 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, twenty-one thousand, one hundred twenty".