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102122011122103 = 7197089110831201
BaseRepresentation
bin10111001110000100100010…
…001100100101100110110111
3111101120202202112121120122001
4113032010202030211212313
5101341131334321401403
61001110112041320131
730340033431106420
oct2716044214454667
9441522675546561
10102122011122103
112a5a2779a65965
12b553b1aa96047
1344ca0ab43424b
141b30a35b5a647
15bc16640b0c1d
hex5ce1223259b7

102122011122103 has 16 divisors (see below), whose sum is σ = 122855291549440. Its totient is φ = 82924966944000.

The previous prime is 102122011122101. The next prime is 102122011122247. The reversal of 102122011122103 is 301221110221201.

It is a cyclic number.

It is not a de Polignac number, because 102122011122103 - 21 = 102122011122101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122011122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4012903 + ... + 14844103.

It is an arithmetic number, because the mean of its divisors is an integer number (7678455721840).

Almost surely, 2102122011122103 is an apocalyptic number.

102122011122103 is a deficient number, since it is larger than the sum of its proper divisors (20733280427337).

102122011122103 is a wasteful number, since it uses less digits than its factorization.

102122011122103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902118.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 102122011122103 its reverse (301221110221201), we get a palindrome (403343121343304).

The spelling of 102122011122103 in words is "one hundred two trillion, one hundred twenty-two billion, eleven million, one hundred twenty-two thousand, one hundred three".

Divisors: 1 7 19 133 70891 496237 1346929 9428503 10831201 75818407 205792819 1440549733 767834670091 5374842690637 14588858731729 102122011122103