10120020100 has 144 divisors (see below), whose sum is σ = 23689108800. Its totient is φ = 3739115520.

The previous prime is 10120020077. The next prime is 10120020101. The reversal of 10120020100 is 102002101.

It is not an unprimeable number, because it can be changed into a prime (10120020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26701711 + ... + 26702089.

It is an arithmetic number, because the mean of its divisors is an integer number (164507700).

Almost surely, 2^10120020100 is an apocalyptic number.

10120020100 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 10120020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11844554400).

10120020100 is an abundant number, since it is smaller than the sum of its proper divisors (13569088700).

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

10120020100 is a wasteful number, since it uses less digits than its factorization.

10120020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10120020100 its reverse (102002101), we get a palindrome (10222022201).

The spelling of 10120020100 in words is "ten billion, one hundred twenty million, twenty thousand, one hundred".