Search a number
-
+
122101211102221 = 1350989184204453
BaseRepresentation
bin11011110000110011100111…
…010100000111110000001101
3121000022202120100011121002001
4123300303213110013300031
5112001001240020232341
61111404304431032301
734501343556646051
oct3360634724076015
9530282510147061
10122101211102221
11359a591854a11a
121184004866b691
1353191303813c0
142221a3175dc61
15e1b1ecd4cd31
hex6f0ce7507c0d

122101211102221 has 8 divisors (see below), whose sum is σ = 131496191532440. Its totient is φ = 112706599182912.

The previous prime is 122101211102113. The next prime is 122101211102261. The reversal of 122101211102221 is 122201112101221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9725734569321 + 112375476532900 = 3118611^2 + 10600730^2 .

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 122101211102221 - 217 = 122101210971149 is a prime.

It is a super-2 number, since 2×1221012111022212 (a number of 29 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 (122101211102261) 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, 91439370 + ... + 92765083.

It is an arithmetic number, because the mean of its divisors is an integer number (16437023941555).

Almost surely, 2122101211102221 is an apocalyptic number.

It is an amenable number.

122101211102221 is a deficient number, since it is larger than the sum of its proper divisors (9394980430219).

122101211102221 is a wasteful number, since it uses less digits than its factorization.

122101211102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184255455.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122101211102221 its reverse (122201112101221), we get a palindrome (244302323203442).

The spelling of 122101211102221 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred eleven million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 13 50989 662857 184204453 2394657889 9392400854017 122101211102221