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102112021121 = 112843901001
BaseRepresentation
bin101111100011001011…
…0011100101010000001
3100202120100210010120012
41133012112130222001
53133111134133441
6114524250554305
710243300600325
oct1370626345201
9322510703505
10102112021121
113a33a634900
1217959138995
139824249096
144d29759985
1529c98789eb
hex17c659ca81

102112021121 has 6 divisors (see below), whose sum is σ = 112238833266. Its totient is φ = 92829110000.

The previous prime is 102112021111. The next prime is 102112021183. The reversal of 102112021121 is 121120211201.

It can be written as a sum of positive squares in only one way, i.e., 101403396721 + 708624400 = 318439^2 + 26620^2 .

It is a de Polignac number, because none of the positive numbers 2k-102112021121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102112021096 and 102112021105.

It is not an unprimeable number, because it can be changed into a prime (102112021111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 421950380 + ... + 421950621.

It is an arithmetic number, because the mean of its divisors is an integer number (18706472211).

Almost surely, 2102112021121 is an apocalyptic number.

102112021121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112021121 is a deficient number, since it is larger than the sum of its proper divisors (10126812145).

102112021121 is an equidigital number, since it uses as much as digits as its factorization.

102112021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843901023 (or 843901012 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112021121 its reverse (121120211201), we get a palindrome (223232232322).

The spelling of 102112021121 in words is "one hundred two billion, one hundred twelve million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 121 843901001 9282911011 102112021121