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222101121222101 = 1134731911112623
BaseRepresentation
bin110010011111111111110010…
…011011110100010111010101
31002010101122211000100202000102
4302133333302123310113111
5213102401044013101401
62104211502503223445
764532163555135212
oct6237776233642725
91063348730322012
10222101121222101
116484a613847000
1220ab0828147b85
1396c10799b7b34
143cbba74656b09
151aa255e7b656b
hexc9fff26f45d5

222101121222101 has 32 divisors (see below), whose sum is σ = 249570713419776. Its totient is φ = 197552044258800.

The previous prime is 222101121222041. The next prime is 222101121222107. The reversal of 222101121222101 is 101222121101222.

It is a de Polignac number, because none of the positive numbers 2k-222101121222101 is a prime.

It is a super-2 number, since 2×2221011212221012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222101121222107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199063076 + ... + 200175698.

It is an arithmetic number, because the mean of its divisors is an integer number (7799084794368).

Almost surely, 2222101121222101 is an apocalyptic number.

It is an amenable number.

222101121222101 is a deficient number, since it is larger than the sum of its proper divisors (27469592197675).

222101121222101 is a wasteful number, since it uses less digits than its factorization.

222101121222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115894 (or 1115872 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 222101121222101 its reverse (101222121101222), we get a palindrome (323323242323323).

It can be divided in two parts, 222101121 and 222101, that added together give a palindrome (222323222).

The spelling of 222101121222101 in words is "two hundred twenty-two trillion, one hundred one billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 11 47 121 517 1331 3191 5687 35101 62557 149977 386111 1112623 1649747 4247221 12238853 18147217 52293281 134627383 199619387 575226091 1480901213 3550379993 6327487001 39054179923 69602357011 166867859671 429595979153 1835546456381 4725555770683 20191011020191 222101121222101