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BaseRepresentation
bin10010101000001110…
…01010110101000100
3221210222211112011211
421110013022311010
5130440240200400
64332222141204
7502556643145
oct112407126504
927728745154
1010001100100
1142723a6592
121b31421804
13c34cb4114
146ac36bacc
153d8028dba

10001100100 has 36 divisors (see below), whose sum is σ = 21706868484. Its totient is φ = 3999614080.

The previous prime is 10001100059. The next prime is 10001100103. The reversal of 10001100100 is 100110001.

Adding to 10001100100 its reverse (100110001), we get a palindrome (10101210101).

Subtracting from 10001100100 its reverse (100110001), we obtain a palindrome (9900990099).

It can be written as a sum of positive squares in 6 ways, for example, as 71774784 + 9929325316 = 8472^2 + 99646^2 .

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 10001100100.

It is not an unprimeable number, because it can be changed into a prime (10001100103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 769254 + ... + 782146.

It is an arithmetic number, because the mean of its divisors is an integer number (602968569).

Almost surely, 210001100100 is an apocalyptic number.

10001100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001100100 is an abundant number, since it is smaller than the sum of its proper divisors (11705768384).

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

10001100100 is a wasteful number, since it uses less digits than its factorization.

10001100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20664 (or 20657 counting only the distinct ones).

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

The spelling of 10001100100 in words is "ten billion, one million, one hundred thousand, one hundred".