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122102010122201 = 19314735912286133
BaseRepresentation
bin11011110000110100010110…
…111100001000111111011001
3121000022211122000200000102122
4123300310112330020333121
5112001004404042402301
61111404520012511025
734501402431341264
oct3360642674107731
9530284560600378
10122102010122201
11359a619858070a
121184023017b475
135319229a801a5
142221aa9911cdb
15e1b24807e81b
hex6f0d16f08fd9

122102010122201 has 32 divisors (see below), whose sum is σ = 135874813132800. Its totient is φ = 109257131759040.

The previous prime is 122102010122161. The next prime is 122102010122249. The reversal of 122102010122201 is 102221010201221.

It is a cyclic number.

It is not a de Polignac number, because 122102010122201 - 242 = 117703963611097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122102010122201.

It is not an unprimeable number, because it can be changed into a prime (122102010122401) 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, 3795131 + ... + 16081263.

It is an arithmetic number, because the mean of its divisors is an integer number (4246087910400).

Almost surely, 2122102010122201 is an apocalyptic number.

It is an amenable number.

122102010122201 is a deficient number, since it is larger than the sum of its proper divisors (13772803010599).

122102010122201 is a wasteful number, since it uses less digits than its factorization.

122102010122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12286589.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122102010122201 its reverse (102221010201221), we get a palindrome (224323020323422).

The spelling of 122102010122201 in words is "one hundred twenty-two trillion, one hundred two billion, ten million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 19 31 47 359 589 893 1457 6821 11129 16873 27683 211451 320587 523063 9938197 12286133 233436527 380870123 577448251 4410721747 7236532337 10971516769 17900895781 83803713193 136732374157 207303922109 340117019839 2597915108983 3938774520071 6426421585379 122102010122201