100111121210976 has 48 divisors (see below), whose sum is σ = 262800271783728. Its totient is φ = 33369284390400.

The previous prime is 100111121210911. The next prime is 100111121210977. The reversal of 100111121210976 is 679012121111001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111121210977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14062255 + ... + 19949166.

It is an arithmetic number, because the mean of its divisors is an integer number (5475005662161).

Almost surely, 2^{100111121210976} is an apocalyptic number.

100111121210976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100111121210976 is an abundant number, since it is smaller than the sum of its proper divisors (162689150572752).

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

100111121210976 is a wasteful number, since it uses less digits than its factorization.

100111121210976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34042095 (or 34042087 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 33.

Adding to 100111121210976 its reverse (679012121111001), we get a palindrome (779123242321977).

The spelling of 100111121210976 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, two hundred ten thousand, nine hundred seventy-six".