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102121110125 = 531748056993
BaseRepresentation
bin101111100011011100…
…1000111101001101101
3100202120222212220022222
41133012321013221231
53133121001011000
6114525213445125
710243441054016
oct1370671075155
9322528786288
10102121110125
113a344782581
12179601a07a5
1398260ac0a8
144d2aa4400d
1529ca571a85
hex17c6e47a6d

102121110125 has 16 divisors (see below), whose sum is σ = 134944039152. Its totient is φ = 76891187200.

The previous prime is 102121110109. The next prime is 102121110127. The reversal of 102121110125 is 521011121201.

It can be written as a sum of positive squares in 8 ways, for example, as 49107889609 + 53013220516 = 221603^2 + 230246^2 .

It is not a de Polignac number, because 102121110125 - 24 = 102121110109 is a prime.

It is a super-2 number, since 2×1021211101252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121110127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24026372 + ... + 24030621.

It is an arithmetic number, because the mean of its divisors is an integer number (8434002447).

Almost surely, 2102121110125 is an apocalyptic number.

It is an amenable number.

102121110125 is a deficient number, since it is larger than the sum of its proper divisors (32822929027).

102121110125 is an equidigital number, since it uses as much as digits as its factorization.

102121110125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48057025 (or 48057015 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 102121110125 its reverse (521011121201), we get a palindrome (623132231326).

The spelling of 102121110125 in words is "one hundred two billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 2125 48056993 240284965 816968881 1201424825 4084844405 6007124125 20424222025 102121110125