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10100101 = 111019091
BaseRepresentation
bin100110100001…
…110110000101
3201000010201211
4212201312011
510041200401
61000251421
7151564234
oct46416605
921003654
1010100101
1157793a0
123470b71
1321282bb
1414acb1b
15d47951
hex9a1d85

10100101 has 8 divisors (see below), whose sum is σ = 11128608. Its totient is φ = 9090000.

The previous prime is 10100099. The next prime is 10100107.

10100101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10100101 - 21 = 10100099 is a prime.

10100101 is a strobogrammatic number because it is the same when read upside-down.

It is a deceptive number, since it divides R10100100.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100107) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3435 + ... + 5656.

It is an arithmetic number, because the mean of its divisors is an integer number (1391076).

Almost surely, 210100101 is an apocalyptic number.

10100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100101 is a deficient number, since it is larger than the sum of its proper divisors (1028507).

10100101 is a wasteful number, since it uses less digits than its factorization.

10100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9203.

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

The square root of 10100101 is about 3178.0656066230. The cubic root of 10100101 is about 216.1599538229.

It can be divided in two parts, 10100 and 101, that multiplied together give a square (1020100 = 10102).

The spelling of 10100101 in words is "ten million, one hundred thousand, one hundred one".

Divisors: 1 11 101 1111 9091 100001 918191 10100101