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10122220111201 = 1153101415941333
BaseRepresentation
bin1001001101001100001101…
…0101011000010101100001
31022211200012220221012100121
42103103003111120111201
52311320301322024301
633310030030120241
72063210023220152
oct223230325302541
938750186835317
1010122220111201
11325289a404590
121175907050081
135856a1296153
1426dcbd269929
1512847ec893a1
hex934c3558561

10122220111201 has 32 divisors (see below), whose sum is σ = 11365170186240. Its totient is φ = 8936639712000.

The previous prime is 10122220111163. The next prime is 10122220111217. The reversal of 10122220111201 is 10211102222101.

It is not a de Polignac number, because 10122220111201 - 29 = 10122220110689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122220111261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244873731 + ... + 244915063.

It is an arithmetic number, because the mean of its divisors is an integer number (355161568320).

Almost surely, 210122220111201 is an apocalyptic number.

10122220111201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122220111201 is a deficient number, since it is larger than the sum of its proper divisors (1242950075039).

10122220111201 is a wasteful number, since it uses less digits than its factorization.

10122220111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45657.

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

Adding to 10122220111201 its reverse (10211102222101), we get a palindrome (20333322333302).

The spelling of 10122220111201 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty million, one hundred eleven thousand, two hundred one".

Divisors: 1 11 53 101 583 1111 4159 5353 41333 45749 58883 220427 420059 454663 2190649 2424697 4174633 4620649 22263127 24097139 45920963 171903947 221255549 244894397 1890943417 2433811039 9110909191 17362298647 100220001101 190985285117 920201828291 10122220111201