10120040100 has 288 divisors, whose sum is σ = 33845750400. Its totient is φ = 2590963200.

The previous prime is 10120040093. The next prime is 10120040107. The reversal of 10120040100 is 104002101.

It is a happy number.

10120040100 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 (10120040093) and next prime (10120040107).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10120040107) 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, 24037890 + ... + 24038310.

Almost surely, 2^10120040100 is an apocalyptic number.

10120040100 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 10120040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16922875200).

10120040100 is an abundant number, since it is smaller than the sum of its proper divisors (23725710300).

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

10120040100 is a wasteful number, since it uses less digits than its factorization.

10120040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10120040100 its reverse (104002101), we get a palindrome (10224042201).

The spelling of 10120040100 in words is "ten billion, one hundred twenty million, forty thousand, one hundred".