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122120100102102 = 23223104338748263
BaseRepresentation
bin11011110001000101001101…
…001011111011111111010110
3121000101120022202011012200020
4123301011031023323333112
5112001303431111231402
61111421111031530010
734502612631543414
oct3361051513737726
9530346282135606
10122120100102102
1135a02930930323
121184383a529906
13531ab508264cb
1422229042822b4
15e1b9562ad8bc
hex6f114d2fbfd6

122120100102102 has 32 divisors (see below), whose sum is σ = 245358991116288. Its totient is φ = 40520269917696.

The previous prime is 122120100101971. The next prime is 122120100102103. The reversal of 122120100102102 is 201201001021221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120100102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9585223 + ... + 18333485.

It is an arithmetic number, because the mean of its divisors is an integer number (7667468472384).

Almost surely, 2122120100102102 is an apocalyptic number.

122120100102102 is an abundant number, since it is smaller than the sum of its proper divisors (123238891014186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122120100102102 is a wasteful number, since it uses less digits than its factorization.

122120100102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8758924.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122120100102102 its reverse (201201001021221), we get a palindrome (323321101123323).

The spelling of 122120100102102 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred million, one hundred two thousand, one hundred two".

Divisors: 1 2 3 6 223 446 669 1338 10433 20866 31299 62598 2326559 4653118 6979677 8748263 13959354 17496526 26244789 52489578 1950862649 3901725298 5852587947 11705175894 91270627879 182541255758 273811883637 547623767274 20353350017017 40706700034034 61060050051051 122120100102102