101000010100 has 72 divisors (see below), whose sum is σ = 241462107936. Its totient is φ = 36363600000.

The previous prime is 101000010047. The next prime is 101000010187. The reversal of 101000010100 is 1010000101.

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 101000010100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 343446 + ... + 565645.

It is an arithmetic number, because the mean of its divisors is an integer number (3353640388).

Almost surely, 2^101000010100 is an apocalyptic number.

101000010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000010100 is an abundant number, since it is smaller than the sum of its proper divisors (140462097836).

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

101000010100 is a wasteful number, since it uses less digits than its factorization.

101000010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909217 (or 909210 counting only the distinct ones).

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

Adding to 101000010100 its reverse (1010000101), we get a palindrome (102010010201).

Subtracting from 101000010100 its reverse (1010000101), we obtain a palindrome (99990009999).

101000010100 divided by its reverse (1010000101) gives a square (100 = 10²).

It can be divided in two parts, 1010000 and 10100, that multiplied together give a square (10201000000 = 101000²).

The spelling of 101000010100 in words is "one hundred one billion, ten thousand, one hundred".