101010101010100 has 72 divisors (see below), whose sum is σ = 220156627824000. Its totient is φ = 40226287046400.

The previous prime is 101010101010079. The next prime is 101010101010131. The reversal of 101010101010100 is 1010101010101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110656555 + ... + 111565645.

It is an arithmetic number, because the mean of its divisors is an integer number (3057730942000).

Almost surely, 2^{101010101010100} is an apocalyptic number.

101010101010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010101010100 is an abundant number, since it is smaller than the sum of its proper divisors (119146526813900).

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

101010101010100 is a wasteful number, since it uses less digits than its factorization.

101010101010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913993 (or 913986 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101010101010100 its reverse (1010101010101), we get a palindrome (102020202020201).

Subtracting from 101010101010100 its reverse (1010101010101), we obtain a palindrome (99999999999999).

101010101010100 divided by its reverse (1010101010101) gives a square (100 = 10²).

The spelling of 101010101010100 in words is "one hundred one trillion, ten billion, one hundred one million, ten thousand, one hundred".