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122102103101 = 11171971484027
BaseRepresentation
bin111000110110111011…
…0100011110000111101
3102200011111122111211212
41301231312203300331
54000031114244401
6132032023454205
711551542515606
oct1615566436075
9380144574755
10122102103101
11478684aa310
121b7b78b7365
13b68b860564
145ca45bcdad
1532997d5dbb
hex1c6dda3c3d

122102103101 has 32 divisors (see below), whose sum is σ = 150552069120. Its totient is φ = 97579641600.

The previous prime is 122102103073. The next prime is 122102103103. The reversal of 122102103101 is 101301201221.

It is a cyclic number.

It is not a de Polignac number, because 122102103101 - 230 = 121028361277 is a prime.

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 (122102103103) 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, 10250 + ... + 494276.

It is an arithmetic number, because the mean of its divisors is an integer number (4704752160).

Almost surely, 2122102103101 is an apocalyptic number.

122102103101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122102103101 is a deficient number, since it is larger than the sum of its proper divisors (28449966019).

122102103101 is a wasteful number, since it uses less digits than its factorization.

122102103101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484145.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 122102103101 its reverse (101301201221), we get a palindrome (223403304322).

The spelling of 122102103101 in words is "one hundred twenty-two billion, one hundred two million, one hundred three thousand, one hundred one".

Divisors: 1 11 17 19 71 187 209 323 781 1207 1349 3553 13277 14839 22933 252263 484027 5324297 8228459 9196513 34365917 90513049 101161643 156340721 378025087 584220589 652952423 1719747931 6426426479 7182476653 11100191191 122102103101