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102120112020121 = 1310177776170617
BaseRepresentation
bin10111001110000010110001…
…000000000101101010011001
3111101120120212012010012110121
4113032002301000011222121
5101341113442134120441
61001105155401113241
730336635401030066
oct2716026100055231
9441516765105417
10102120112020121
112a5a1994a73498
12b55368aa88821
1344c9b67b56370
141b308d5847c6d
15bc15a24cddd1
hex5ce0b1005a99

102120112020121 has 8 divisors (see below), whose sum is σ = 111064371642504. Its totient is φ = 93331404739200.

The previous prime is 102120112020023. The next prime is 102120112020169. The reversal of 102120112020121 is 121020211021201.

It can be written as a sum of positive squares in 4 ways, for example, as 32319099930121 + 69801012090000 = 5684989^2 + 8354700^2 .

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 102120112020121 - 27 = 102120112019993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102120112020095 and 102120112020104.

It is not an unprimeable number, because it can be changed into a prime (102120112020181) 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, 38888083996 + ... + 38888086621.

It is an arithmetic number, because the mean of its divisors is an integer number (13883046455313).

Almost surely, 2102120112020121 is an apocalyptic number.

It is an amenable number.

102120112020121 is a deficient number, since it is larger than the sum of its proper divisors (8944259622383).

102120112020121 is a wasteful number, since it uses less digits than its factorization.

102120112020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77776170731.

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

Adding to 102120112020121 its reverse (121020211021201), we get a palindrome (223140323041322).

The spelling of 102120112020121 in words is "one hundred two trillion, one hundred twenty billion, one hundred twelve million, twenty thousand, one hundred twenty-one".

Divisors: 1 13 101 1313 77776170617 1011090218021 7855393232317 102120112020121