100111121210910 has 64 divisors (see below), whose sum is σ = 242648311011840. Its totient is φ = 26431680508800.

The previous prime is 100111121210909. The next prime is 100111121210911. The reversal of 100111121210910 is 19012121111001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100111121210909) and next prime (100111121210911).

It is a super-3 number, since 3×100111121210910³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111121210911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436626559 + ... + 436855781.

It is an arithmetic number, because the mean of its divisors is an integer number (3791379859560).

Almost surely, 2^{100111121210910} is an apocalyptic number.

100111121210910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111121210910 is an abundant number, since it is smaller than the sum of its proper divisors (142537189800930).

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

100111121210910 is a wasteful number, since it uses less digits than its factorization.

100111121210910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373473.

The product of its (nonzero) digits is 36, while the sum is 21.

Adding to 100111121210910 its reverse (19012121111001), we get a palindrome (119123242321911).

The spelling of 100111121210910 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, two hundred ten thousand, nine hundred ten".