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121111000101 = 327133713928753
BaseRepresentation
bin111000011001011000…
…1110011010000100101
3102120121102201021010100
41300302301303100211
53441013404000401
6131345421014313
711515146341520
oct1606261632045
9376542637110
10121111000101
11473aa002a23
121b57b9b4399
13b561419b90
145c0cb09bb7
15323c7b0b86
hex1c32c73425

121111000101 has 96 divisors (see below), whose sum is σ = 222726183680. Its totient is φ = 61706852352.

The previous prime is 121111000099. The next prime is 121111000103. The reversal of 121111000101 is 101000111121.

It is an interprime number because it is at equal distance from previous prime (121111000099) and next prime (121111000103).

It is not a de Polignac number, because 121111000101 - 21 = 121111000099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4197741 + ... + 4226493.

Almost surely, 2121111000101 is an apocalyptic number.

It is an amenable number.

121111000101 is a deficient number, since it is larger than the sum of its proper divisors (101615183579).

121111000101 is a wasteful number, since it uses less digits than its factorization.

121111000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28955 (or 28952 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 121111000101 its reverse (101000111121), we get a palindrome (222111111222).

The spelling of 121111000101 in words is "one hundred twenty-one billion, one hundred eleven million, one hundred one", and thus it is an aban number.

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 139 259 273 333 417 481 777 819 973 1251 1443 1807 2331 2919 3367 4329 5143 5421 8757 10101 12649 15429 16263 28753 30303 36001 37947 46287 66859 86259 108003 113841 200577 201271 258777 324009 373789 468013 601731 603813 1063861 1121367 1404039 1811439 2616523 3191583 3364101 3996667 4212117 7447027 7849569 9574749 11990001 13830193 22341081 23548707 27976669 35970003 41490579 51956671 67023243 83930007 96811351 124471737 147876679 155870013 251790021 290434053 363696697 443630037 467610039 871302159 1035136753 1091090091 1330890111 1922396827 3105410259 3273270273 5767190481 9316230777 13456777789 17301571443 40370333367 121111000101