10031121100 has 288 divisors, whose sum is σ = 30504047616. Its totient is φ = 2759961600.

The previous prime is 10031121091. The next prime is 10031121109. The reversal of 10031121100 is 112113001.

10031121100 is digitally balanced in base 2, 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 (10031121091) and next prime (10031121109).

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

It is not an unprimeable number, because it can be changed into a prime (10031121109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2300122 + ... + 2304478.

It is an arithmetic number, because the mean of its divisors is an integer number (105916832).

Almost surely, 2^10031121100 is an apocalyptic number.

10031121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252023808).

10031121100 is an abundant number, since it is smaller than the sum of its proper divisors (20472926516).

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

10031121100 is a wasteful number, since it uses less digits than its factorization.

10031121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10031121100 its reverse (112113001), we get a palindrome (10143234101).

It can be divided in two parts, 10031 and 121100, that added together give a palindrome (131131).

The spelling of 10031121100 in words is "ten billion, thirty-one million, one hundred twenty-one thousand, one hundred".