101010120100 has 36 divisors (see below), whose sum is σ = 219523710868. Its totient is φ = 40342896000.

The previous prime is 101010120091. The next prime is 101010120103. The reversal of 101010120100 is 1021010101.

101010120100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12820127076 + 88189993024 = 113226^2 + 296968^2 .

It is not an unprimeable number, because it can be changed into a prime (101010120103) 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 11 ways as a sum of consecutive naturals, for example, 697971 + ... + 830170.

Almost surely, 2^101010120100 is an apocalyptic number.

101010120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010120100 is an abundant number, since it is smaller than the sum of its proper divisors (118513590768).

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

101010120100 is a wasteful number, since it uses less digits than its factorization.

101010120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528816 (or 1528809 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101010120100 its reverse (1021010101), we get a palindrome (102031130201).

The spelling of 101010120100 in words is "one hundred one billion, ten million, one hundred twenty thousand, one hundred".