100111111001020 has 72 divisors (see below), whose sum is σ = 244564943592816. Its totient is φ = 34322714608896.

The previous prime is 100111111001017. The next prime is 100111111001131. The reversal of 100111111001020 is 20100111111001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100111111000988 and 100111111001006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29410407 + ... + 32637313.

It is an arithmetic number, because the mean of its divisors is an integer number (3396735327678).

Almost surely, 2^{100111111001020} is an apocalyptic number.

100111111001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111111001020 is an abundant number, since it is smaller than the sum of its proper divisors (144453832591796).

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

100111111001020 is a wasteful number, since it uses less digits than its factorization.

100111111001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258587 (or 3258578 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100111111001020 its reverse (20100111111001), we get a palindrome (120211222112021).

The spelling of 100111111001020 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, one thousand, twenty".