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212101011021122 = 217437912119151531
BaseRepresentation
bin110000001110011110011101…
…011010110001110101000010
31000210222122210010202200212022
4300032132131122301311002
5210300030332310133442
62031033505340201442
762450535531001136
oct6016363532616502
91023878703680768
10212101011021122
11616445962943a3
121b95671b539282
139147068a86942
143a53a5aa3d3c6
15197c379d563d2
hexc0e79d6b1d42

212101011021122 has 64 divisors (see below), whose sum is σ = 349094815027200. Its totient is φ = 96248384144640.

The previous prime is 212101011021103. The next prime is 212101011021143. The reversal of 212101011021122 is 221120110101212.

212101011021122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121010110211222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 212101011021122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399644497 + ... + 1399796027.

It is an arithmetic number, because the mean of its divisors is an integer number (5454606484800).

Almost surely, 2212101011021122 is an apocalyptic number.

212101011021122 is a deficient number, since it is larger than the sum of its proper divisors (136993804006078).

212101011021122 is a wasteful number, since it uses less digits than its factorization.

212101011021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163791.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212101011021122 its reverse (221120110101212), we get a palindrome (433221121122334).

The spelling of 212101011021122 in words is "two hundred twelve trillion, one hundred one billion, eleven million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 17 34 43 79 86 158 731 1343 1462 2686 3397 6794 12119 24238 57749 115498 151531 206023 303062 412046 521117 957401 1042234 1914802 2576027 5152054 6515833 8858989 11970949 13031666 16275817 17717978 23941898 32551634 41168243 82336486 110769161 203506133 221538322 407012266 514750807 699860131 1029501614 1399720262 1836404189 3672808378 8750763719 17501527438 31218871213 62437742426 78965380127 145075930931 157930760254 290151861862 1342411462159 2466290825827 2684822924318 4932581651654 6238265030033 12476530060066 106050505510561 212101011021122