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1010001100100 = 225210100011001
BaseRepresentation
bin11101011001010001100…
…00011011110101000100
310120112222201020221122212
432230220300123311010
5113021440240200400
62051553232442552
7132653524462166
oct16545060336504
93515881227585
101010001100100
1135a380321483
121438b33a9458
137432027c955
1436c547b4936
151b414790335
hexeb28c1bd44

1010001100100 has 18 divisors (see below), whose sum is σ = 2191702387434. Its totient is φ = 404000440000.

The previous prime is 1010001100091. The next prime is 1010001100109. The reversal of 1010001100100 is 10011000101.

It is an interprime number because it is at equal distance from previous prime (1010001100091) and next prime (1010001100109).

It can be written as a sum of positive squares in 3 ways, for example, as 14344373824 + 995656726276 = 119768^2 + 997826^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (1010001100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5050005401 + ... + 5050005600.

Almost surely, 21010001100100 is an apocalyptic number.

1010001100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010001100100 is an abundant number, since it is smaller than the sum of its proper divisors (1181701287334).

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

1010001100100 is a wasteful number, since it uses less digits than its factorization.

1010001100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100011015 (or 10100011008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1010001100100 its reverse (10011000101), we get a palindrome (1020012100201).

Subtracting from 1010001100100 its reverse (10011000101), we obtain a palindrome (999990099999).

The spelling of 1010001100100 in words is "one trillion, ten billion, one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10100011001 20200022002 40400044004 50500055005 101000110010 202000220020 252500275025 505000550050 1010001100100