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10101102 = 2311314937
BaseRepresentation
bin100110100010…
…000101101110
3201000012002220
4212202011232
510041213402
61000300210
7151600164
oct46420556
921005086
1010101102
11577a120
123471666
1321288ab
1414ad234
15d47dbc
hex9a216e

10101102 has 32 divisors (see below), whose sum is σ = 22754304. Its totient is φ = 2961600.

The previous prime is 10101101. The next prime is 10101109. The reversal of 10101102 is 20110101.

Adding to 10101102 its reverse (20110101), we get a palindrome (30211203).

Multipling 10101102 by its reverse (20110101), we get a palindrome (203134181431302).

It can be divided in two parts, 1010 and 1102, that added together give a palindrome (2112).

It is a super-3 number, since 3×101011023 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101101) 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 15 ways as a sum of consecutive naturals, for example, 423 + ... + 4514.

It is an arithmetic number, because the mean of its divisors is an integer number (711072).

Almost surely, 210101102 is an apocalyptic number.

10101102 is an abundant number, since it is smaller than the sum of its proper divisors (12653202).

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

10101102 is a wasteful number, since it uses less digits than its factorization.

10101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 10101102 is about 3178.2230884568. The cubic root of 10101102 is about 216.1670946414.

The spelling of 10101102 in words is "ten million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 2046 4937 9874 14811 29622 54307 108614 153047 162921 306094 325842 459141 918282 1683517 3367034 5050551 10101102