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122121102113 = 1939716189991
BaseRepresentation
bin111000110111011111…
…1000010001100100001
3102200012211101202120222
41301232333002030201
54000101000231423
6132033543012425
711552163145403
oct1615677021441
9380184352528
10122121102113
11478781a657a
121b80213a115
13b69278318a
145ca6d26b73
15329b2da3c8
hex1c6efc2321

122121102113 has 8 divisors (see below), whose sum is σ = 128872336320. Its totient is φ = 115402248720.

The previous prime is 122121102091. The next prime is 122121102119. The reversal of 122121102113 is 311201121221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122121102113 - 26 = 122121102049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122121102091 and 122121102100.

It is not an unprimeable number, because it can be changed into a prime (122121102119) 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 7 ways as a sum of consecutive naturals, for example, 8087453 + ... + 8102538.

It is an arithmetic number, because the mean of its divisors is an integer number (16109042040).

Almost surely, 2122121102113 is an apocalyptic number.

It is an amenable number.

122121102113 is a deficient number, since it is larger than the sum of its proper divisors (6751234207).

122121102113 is a wasteful number, since it uses less digits than its factorization.

122121102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16190407.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 122121102113 its reverse (311201121221), we get a palindrome (433322223334).

The spelling of 122121102113 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred two thousand, one hundred thirteen".

Divisors: 1 19 397 7543 16189991 307609829 6427426427 122121102113