100121311110 has 128 divisors (see below), whose sum is σ = 256794416640. Its totient is φ = 24910848000.

The previous prime is 100121311093. The next prime is 100121311127. The reversal of 100121311110 is 11113121001.

100121311110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100121311093) and next prime (100121311127).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 11106505 + ... + 11115515.

It is an arithmetic number, because the mean of its divisors is an integer number (2006206380).

Almost surely, 2^100121311110 is an apocalyptic number.

100121311110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121311110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128397208320).

100121311110 is an abundant number, since it is smaller than the sum of its proper divisors (156673105530).

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

100121311110 is a wasteful number, since it uses less digits than its factorization.

100121311110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9334.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100121311110 its reverse (11113121001), we get a palindrome (111234432111).

The spelling of 100121311110 in words is "one hundred billion, one hundred twenty-one million, three hundred eleven thousand, one hundred ten".