101010100 has 72 divisors (see below), whose sum is σ = 226032408. Its totient is φ = 39168000.

The previous prime is 101010079. The next prime is 101010113. The reversal of 101010100 is 1010101.

It can be written as a sum of positive squares in 12 ways, for example, as 2683044 + 98327056 = 1638^2 + 9916^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 101010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 737232 + ... + 737368.

It is an arithmetic number, because the mean of its divisors is an integer number (3139339).

Almost surely, 2^101010100 is an apocalyptic number.

101010100 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 101010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113016204).

101010100 is an abundant number, since it is smaller than the sum of its proper divisors (125022308).

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

101010100 is a wasteful number, since it uses less digits than its factorization.

101010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 101010100 is about 10050.3781023402. The cubic root of 101010100 is about 465.7164736280.

Adding to 101010100 its reverse (1010101), we get a palindrome (102020201).

Subtracting from 101010100 its reverse (1010101), we obtain a palindrome (99999999).

Multiplying 101010100 by its reverse (1010101), we get a square (102030403020100 = 10101010²).

101010100 divided by its reverse (1010101) gives a square (100 = 10²).

The spelling of 101010100 in words is "one hundred one million, ten thousand, one hundred".