Search a number
-
+
100101222101 = 6116310067507
BaseRepresentation
bin101110100111001111…
…1110110111011010101
3100120101020002221212102
41131032133312323111
53120001403101401
6113552540331445
710142413230446
oct1351637667325
9316336087772
10100101222101
11394a8591831
1217497843b85
13959379058a
144bb868d2cd
15290d08156b
hex174e7f6ed5

100101222101 has 8 divisors (see below), whose sum is σ = 102366421344. Its totient is φ = 97856158320.

The previous prime is 100101222079. The next prime is 100101222209. The reversal of 100101222101 is 101222101001.

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

It is a cyclic number.

It is not a de Polignac number, because 100101222101 - 214 = 100101205717 is a prime.

It is a super-2 number, since 2×1001012221012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101222601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5023811 + ... + 5043696.

It is an arithmetic number, because the mean of its divisors is an integer number (12795802668).

Almost surely, 2100101222101 is an apocalyptic number.

It is an amenable number.

100101222101 is a deficient number, since it is larger than the sum of its proper divisors (2265199243).

100101222101 is a wasteful number, since it uses less digits than its factorization.

100101222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067731.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100101222101 its reverse (101222101001), we get a palindrome (201323323102).

The spelling of 100101222101 in words is "one hundred billion, one hundred one million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 61 163 9943 10067507 614117927 1641003641 100101222101