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212201100212101 = 71113421503537081
BaseRepresentation
bin110000001111111011101011…
…001100101111011110000101
31000211100020010112020102010121
4300033323223030233132011
5210303200323123241401
62031151501211021541
762461011040042510
oct6017735314573605
91024306115212117
10212201100212101
1161682a87aa8a50
121b971bb313a8b1
139153629bc3cc0
143a58833879d77
15197ec86d0cca1
hexc0feeb32f785

212201100212101 has 32 divisors (see below), whose sum is σ = 285590119723776. Its totient is φ = 152269612992000.

The previous prime is 212201100212093. The next prime is 212201100212107. The reversal of 212201100212101 is 101212001102212.

It is not a de Polignac number, because 212201100212101 - 23 = 212201100212093 is a prime.

It is a super-2 number, since 2×2122011002121012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201100212107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251347120 + ... + 252189961.

It is an arithmetic number, because the mean of its divisors is an integer number (8924691241368).

Almost surely, 2212201100212101 is an apocalyptic number.

It is an amenable number.

212201100212101 is a deficient number, since it is larger than the sum of its proper divisors (73389019511675).

212201100212101 is a wasteful number, since it uses less digits than its factorization.

212201100212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503537533.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212201100212101 its reverse (101212001102212), we get a palindrome (313413101314313).

The spelling of 212201100212101 in words is "two hundred twelve trillion, two hundred one billion, one hundred million, two hundred twelve thousand, one hundred one".

Divisors: 1 7 11 13 77 91 143 421 1001 2947 4631 5473 32417 38311 60203 421421 503537081 3524759567 5538907891 6545982053 38772355237 45821874371 72005802583 211989111101 504040618081 1483923777707 2331880222111 2755858444313 16323161554777 19291009110191 30314442887443 212201100212101