Search a number
-
+
100121202221 = 19292103127479
BaseRepresentation
bin101110100111110110…
…0000100111000101101
3100120102121201001102212
41131033230010320231
53120022011432341
6113554532500205
710143045114515
oct1351754047055
9316377631385
10100121202221
1139508899127
12174a247a665
139597967931
144bbb1b0845
15290ebcb5eb
hex174fb04e2d

100121202221 has 48 divisors (see below), whose sum is σ = 111309619200. Its totient is φ = 89789829696.

The previous prime is 100121202217. The next prime is 100121202239. The reversal of 100121202221 is 122202121001.

It is not a de Polignac number, because 100121202221 - 22 = 100121202217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100121202196 and 100121202205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121202421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209021060 + ... + 209021538.

It is an arithmetic number, because the mean of its divisors is an integer number (2318950400).

Almost surely, 2100121202221 is an apocalyptic number.

It is an amenable number.

100121202221 is a deficient number, since it is larger than the sum of its proper divisors (11188416979).

100121202221 is a wasteful number, since it uses less digits than its factorization.

100121202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100121202221 its reverse (122202121001), we get a palindrome (222323323222).

The spelling of 100121202221 in words is "one hundred billion, one hundred twenty-one million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 19 29 103 127 479 551 841 1957 2413 2987 3683 9101 13081 13891 15979 49337 56753 60833 69977 86623 106807 248539 263929 379349 402839 937403 1155827 1430773 1645837 1764157 2029333 6265799 7207631 7653941 11001121 27184687 33518983 41492417 51160553 119050181 181708171 209021299 788355923 972050507 3452455249 5269536959 100121202221